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Finding the Fourth Proportional to 119,772.22, 165,255.24 and 87,885.76

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Solution

The fourth proportional to 119,772.22, 165,255.24 and 87,885.76 is: 121,260.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,772.22 : 165,255.24 = 87,885.76 : x
  2. Step 2: Convert to fraction form
    119,772.22/165,255.24 = 87,885.76/x
  3. Step 3: Cross multiply
    119,772.22x = 165,255.24 × 87,885.76
  4. Step 4: Simplify right side
    119,772.22x = 14,523,582,361.38
  5. Step 5: Solve for x
    x = 14,523,582,361.38/119,772.22
  6. Step 6: Final answer
    x = 121,260.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.