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Finding the Fourth Proportional to 506,119.12, 759,163.84 and 132,142.08

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Solution

The fourth proportional to 506,119.12, 759,163.84 and 132,142.08 is: 198,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,119.12 : 759,163.84 = 132,142.08 : x
  2. Step 2: Convert to fraction form
    506,119.12/759,163.84 = 132,142.08/x
  3. Step 3: Cross multiply
    506,119.12x = 759,163.84 × 132,142.08
  4. Step 4: Simplify right side
    506,119.12x = 100,317,488,878.39
  5. Step 5: Solve for x
    x = 100,317,488,878.39/506,119.12
  6. Step 6: Final answer
    x = 198,209.25

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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.