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Finding the Fourth Proportional to 96,410.60, 144,443.10 and 82,586.60

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Solution

The fourth proportional to 96,410.60, 144,443.10 and 82,586.60 is: 123,731.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,410.60 : 144,443.10 = 82,586.60 : x
  2. Step 2: Convert to fraction form
    96,410.60/144,443.10 = 82,586.60/x
  3. Step 3: Cross multiply
    96,410.60x = 144,443.10 × 82,586.60
  4. Step 4: Simplify right side
    96,410.60x = 11,929,064,522.46
  5. Step 5: Solve for x
    x = 11,929,064,522.46/96,410.60
  6. Step 6: Final answer
    x = 123,731.88

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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.