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Finding the Fourth Proportional to 96,665.40, 144,882.90 and 40,505.40

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Solution

The fourth proportional to 96,665.40, 144,882.90 and 40,505.40 is: 60,709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,665.40 : 144,882.90 = 40,505.40 : x
  2. Step 2: Convert to fraction form
    96,665.40/144,882.90 = 40,505.40/x
  3. Step 3: Cross multiply
    96,665.40x = 144,882.90 × 40,505.40
  4. Step 4: Simplify right side
    96,665.40x = 5,868,539,817.66
  5. Step 5: Solve for x
    x = 5,868,539,817.66/96,665.40
  6. Step 6: Final answer
    x = 60,709.83

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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.