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Finding the Fourth Proportional to 174,842.80, 262,069.80 and 96,013.60

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Solution

The fourth proportional to 174,842.80, 262,069.80 and 96,013.60 is: 143,913.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,842.80 : 262,069.80 = 96,013.60 : x
  2. Step 2: Convert to fraction form
    174,842.80/262,069.80 = 96,013.60/x
  3. Step 3: Cross multiply
    174,842.80x = 262,069.80 × 96,013.60
  4. Step 4: Simplify right side
    174,842.80x = 25,162,264,949.28
  5. Step 5: Solve for x
    x = 25,162,264,949.28/174,842.80
  6. Step 6: Final answer
    x = 143,913.65

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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.