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Finding the Fourth Proportional to 154,414.32, 213,092.49 and 86,432.64

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Solution

The fourth proportional to 154,414.32, 213,092.49 and 86,432.64 is: 119,277.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,414.32 : 213,092.49 = 86,432.64 : x
  2. Step 2: Convert to fraction form
    154,414.32/213,092.49 = 86,432.64/x
  3. Step 3: Cross multiply
    154,414.32x = 213,092.49 × 86,432.64
  4. Step 4: Simplify right side
    154,414.32x = 18,418,145,999.90
  5. Step 5: Solve for x
    x = 18,418,145,999.90/154,414.32
  6. Step 6: Final answer
    x = 119,277.45

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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.