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Finding the Fourth Proportional to 159,080.92, 219,531.80 and 87,462.16

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Solution

The fourth proportional to 159,080.92, 219,531.80 and 87,462.16 is: 120,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,080.92 : 219,531.80 = 87,462.16 : x
  2. Step 2: Convert to fraction form
    159,080.92/219,531.80 = 87,462.16/x
  3. Step 3: Cross multiply
    159,080.92x = 219,531.80 × 87,462.16
  4. Step 4: Simplify right side
    159,080.92x = 19,200,725,416.69
  5. Step 5: Solve for x
    x = 19,200,725,416.69/159,080.92
  6. Step 6: Final answer
    x = 120,697.85

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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.