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Finding the Fourth Proportional to 205,227.60, 307,285.32 and 106,524.24

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Solution

The fourth proportional to 205,227.60, 307,285.32 and 106,524.24 is: 159,497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,227.60 : 307,285.32 = 106,524.24 : x
  2. Step 2: Convert to fraction form
    205,227.60/307,285.32 = 106,524.24/x
  3. Step 3: Cross multiply
    205,227.60x = 307,285.32 × 106,524.24
  4. Step 4: Simplify right side
    205,227.60x = 32,733,335,176.16
  5. Step 5: Solve for x
    x = 32,733,335,176.16/205,227.60
  6. Step 6: Final answer
    x = 159,497.72

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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.