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Finding the Fourth Proportional to 138,172.32, 207,258 and 38,332.32

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Solution

The fourth proportional to 138,172.32, 207,258 and 38,332.32 is: 57,498.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,172.32 : 207,258 = 38,332.32 : x
  2. Step 2: Convert to fraction form
    138,172.32/207,258 = 38,332.32/x
  3. Step 3: Cross multiply
    138,172.32x = 207,258 × 38,332.32
  4. Step 4: Simplify right side
    138,172.32x = 7,944,679,978.56
  5. Step 5: Solve for x
    x = 7,944,679,978.56/138,172.32
  6. Step 6: Final answer
    x = 57,498.35

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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.