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Finding the Fourth Proportional to 132,710.55, 198,598.11 and 82,814.14

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Solution

The fourth proportional to 132,710.55, 198,598.11 and 82,814.14 is: 123,929.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,710.55 : 198,598.11 = 82,814.14 : x
  2. Step 2: Convert to fraction form
    132,710.55/198,598.11 = 82,814.14/x
  3. Step 3: Cross multiply
    132,710.55x = 198,598.11 × 82,814.14
  4. Step 4: Simplify right side
    132,710.55x = 16,446,731,685.28
  5. Step 5: Solve for x
    x = 16,446,731,685.28/132,710.55
  6. Step 6: Final answer
    x = 123,929.35

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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.