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Finding the Fourth Proportional to 156,480.32, 215,939.04 and 89,408

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Solution

The fourth proportional to 156,480.32, 215,939.04 and 89,408 is: 123,380.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,480.32 : 215,939.04 = 89,408 : x
  2. Step 2: Convert to fraction form
    156,480.32/215,939.04 = 89,408/x
  3. Step 3: Cross multiply
    156,480.32x = 215,939.04 × 89,408
  4. Step 4: Simplify right side
    156,480.32x = 19,306,677,688.32
  5. Step 5: Solve for x
    x = 19,306,677,688.32/156,480.32
  6. Step 6: Final answer
    x = 123,380.87

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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.