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Finding the Fourth Proportional to 120,607.92, 180,863.28 and 36,342

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Solution

The fourth proportional to 120,607.92, 180,863.28 and 36,342 is: 54,498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,607.92 : 180,863.28 = 36,342 : x
  2. Step 2: Convert to fraction form
    120,607.92/180,863.28 = 36,342/x
  3. Step 3: Cross multiply
    120,607.92x = 180,863.28 × 36,342
  4. Step 4: Simplify right side
    120,607.92x = 6,572,933,321.76
  5. Step 5: Solve for x
    x = 6,572,933,321.76/120,607.92
  6. Step 6: Final answer
    x = 54,498.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.