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Finding the Fourth Proportional to 229,807.72, 317,098.02 and 139,148.20

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Solution

The fourth proportional to 229,807.72, 317,098.02 and 139,148.20 is: 192,002.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,807.72 : 317,098.02 = 139,148.20 : x
  2. Step 2: Convert to fraction form
    229,807.72/317,098.02 = 139,148.20/x
  3. Step 3: Cross multiply
    229,807.72x = 317,098.02 × 139,148.20
  4. Step 4: Simplify right side
    229,807.72x = 44,123,618,706.56
  5. Step 5: Solve for x
    x = 44,123,618,706.56/229,807.72
  6. Step 6: Final answer
    x = 192,002.33

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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.