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Finding the Fourth Proportional to 138,533.20, 207,800 and 38,693.40

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Solution

The fourth proportional to 138,533.20, 207,800 and 38,693.40 is: 58,040.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,533.20 : 207,800 = 38,693.40 : x
  2. Step 2: Convert to fraction form
    138,533.20/207,800 = 38,693.40/x
  3. Step 3: Cross multiply
    138,533.20x = 207,800 × 38,693.40
  4. Step 4: Simplify right side
    138,533.20x = 8,040,488,520
  5. Step 5: Solve for x
    x = 8,040,488,520/138,533.20
  6. Step 6: Final answer
    x = 58,040.16

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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.