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Finding the Fourth Proportional to 188,068,902.80, 282,103,354.20 and 174,464,013.20

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Solution

The fourth proportional to 188,068,902.80, 282,103,354.20 and 174,464,013.20 is: 261,696,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,068,902.80 : 282,103,354.20 = 174,464,013.20 : x
  2. Step 2: Convert to fraction form
    188,068,902.80/282,103,354.20 = 174,464,013.20/x
  3. Step 3: Cross multiply
    188,068,902.80x = 282,103,354.20 × 174,464,013.20
  4. Step 4: Simplify right side
    188,068,902.80x = 49,216,883,310,913,072
  5. Step 5: Solve for x
    x = 49,216,883,310,913,072/188,068,902.80
  6. Step 6: Final answer
    x = 261,696,019.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.