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Finding the Fourth Proportional to 174,542.80, 261,641.40 and 85,723.60

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Solution

The fourth proportional to 174,542.80, 261,641.40 and 85,723.60 is: 128,500.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,542.80 : 261,641.40 = 85,723.60 : x
  2. Step 2: Convert to fraction form
    174,542.80/261,641.40 = 85,723.60/x
  3. Step 3: Cross multiply
    174,542.80x = 261,641.40 × 85,723.60
  4. Step 4: Simplify right side
    174,542.80x = 22,428,842,717.04
  5. Step 5: Solve for x
    x = 22,428,842,717.04/174,542.80
  6. Step 6: Final answer
    x = 128,500.53

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