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Finding the Fourth Proportional to 147,402.12, 220,945.52 and 76,253.14

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Solution

The fourth proportional to 147,402.12, 220,945.52 and 76,253.14 is: 114,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,402.12 : 220,945.52 = 76,253.14 : x
  2. Step 2: Convert to fraction form
    147,402.12/220,945.52 = 76,253.14/x
  3. Step 3: Cross multiply
    147,402.12x = 220,945.52 × 76,253.14
  4. Step 4: Simplify right side
    147,402.12x = 16,847,789,668.93
  5. Step 5: Solve for x
    x = 16,847,789,668.93/147,402.12
  6. Step 6: Final answer
    x = 114,298.15

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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.