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Finding the Fourth Proportional to 357,138.20, 535,329.30 and 132,354.20

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Solution

The fourth proportional to 357,138.20, 535,329.30 and 132,354.20 is: 198,391.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,138.20 : 535,329.30 = 132,354.20 : x
  2. Step 2: Convert to fraction form
    357,138.20/535,329.30 = 132,354.20/x
  3. Step 3: Cross multiply
    357,138.20x = 535,329.30 × 132,354.20
  4. Step 4: Simplify right side
    357,138.20x = 70,853,081,238.06
  5. Step 5: Solve for x
    x = 70,853,081,238.06/357,138.20
  6. Step 6: Final answer
    x = 198,391.21

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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.