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Finding the Fourth Proportional to 174,068.10, 261,074.12 and 47,678.79

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Solution

The fourth proportional to 174,068.10, 261,074.12 and 47,678.79 is: 71,510.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,068.10 : 261,074.12 = 47,678.79 : x
  2. Step 2: Convert to fraction form
    174,068.10/261,074.12 = 47,678.79/x
  3. Step 3: Cross multiply
    174,068.10x = 261,074.12 × 47,678.79
  4. Step 4: Simplify right side
    174,068.10x = 12,447,696,836.54
  5. Step 5: Solve for x
    x = 12,447,696,836.54/174,068.10
  6. Step 6: Final answer
    x = 71,510.50

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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.