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Finding the Fourth Proportional to 102,251.30, 153,398.55 and 31,168.10

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Solution

The fourth proportional to 102,251.30, 153,398.55 and 31,168.10 is: 46,758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,251.30 : 153,398.55 = 31,168.10 : x
  2. Step 2: Convert to fraction form
    102,251.30/153,398.55 = 31,168.10/x
  3. Step 3: Cross multiply
    102,251.30x = 153,398.55 × 31,168.10
  4. Step 4: Simplify right side
    102,251.30x = 4,781,141,346.26
  5. Step 5: Solve for x
    x = 4,781,141,346.26/102,251.30
  6. Step 6: Final answer
    x = 46,758.73

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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.