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Finding the Fourth Proportional to 205,177.92, 283,273.60 and 157,339.20

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Solution

The fourth proportional to 205,177.92, 283,273.60 and 157,339.20 is: 217,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,177.92 : 283,273.60 = 157,339.20 : x
  2. Step 2: Convert to fraction form
    205,177.92/283,273.60 = 157,339.20/x
  3. Step 3: Cross multiply
    205,177.92x = 283,273.60 × 157,339.20
  4. Step 4: Simplify right side
    205,177.92x = 44,570,041,605.12
  5. Step 5: Solve for x
    x = 44,570,041,605.12/205,177.92
  6. Step 6: Final answer
    x = 217,226.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.