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Finding the Fourth Proportional to 287,773.80, 431,693.10 and 88,092.60

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Solution

The fourth proportional to 287,773.80, 431,693.10 and 88,092.60 is: 132,148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,773.80 : 431,693.10 = 88,092.60 : x
  2. Step 2: Convert to fraction form
    287,773.80/431,693.10 = 88,092.60/x
  3. Step 3: Cross multiply
    287,773.80x = 431,693.10 × 88,092.60
  4. Step 4: Simplify right side
    287,773.80x = 38,028,967,581.06
  5. Step 5: Solve for x
    x = 38,028,967,581.06/287,773.80
  6. Step 6: Final answer
    x = 132,148.82

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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.