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Finding the Fourth Proportional to 138,032.35, 207,032.36 and 38,200.21

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Solution

The fourth proportional to 138,032.35, 207,032.36 and 38,200.21 is: 57,295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,032.35 : 207,032.36 = 38,200.21 : x
  2. Step 2: Convert to fraction form
    138,032.35/207,032.36 = 38,200.21/x
  3. Step 3: Cross multiply
    138,032.35x = 207,032.36 × 38,200.21
  4. Step 4: Simplify right side
    138,032.35x = 7,908,678,920.21
  5. Step 5: Solve for x
    x = 7,908,678,920.21/138,032.35
  6. Step 6: Final answer
    x = 57,295.83

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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.