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Finding the Fourth Proportional to 242,035.74, 363,109.68 and 82,103.16

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Solution

The fourth proportional to 242,035.74, 363,109.68 and 82,103.16 is: 123,173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,035.74 : 363,109.68 = 82,103.16 : x
  2. Step 2: Convert to fraction form
    242,035.74/363,109.68 = 82,103.16/x
  3. Step 3: Cross multiply
    242,035.74x = 363,109.68 × 82,103.16
  4. Step 4: Simplify right side
    242,035.74x = 29,812,452,154.59
  5. Step 5: Solve for x
    x = 29,812,452,154.59/242,035.74
  6. Step 6: Final answer
    x = 123,173.76

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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.