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Finding the Fourth Proportional to 331,838.10, 497,757.15 and 95,159.70

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Solution

The fourth proportional to 331,838.10, 497,757.15 and 95,159.70 is: 142,739.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,838.10 : 497,757.15 = 95,159.70 : x
  2. Step 2: Convert to fraction form
    331,838.10/497,757.15 = 95,159.70/x
  3. Step 3: Cross multiply
    331,838.10x = 497,757.15 × 95,159.70
  4. Step 4: Simplify right side
    331,838.10x = 47,366,421,066.86
  5. Step 5: Solve for x
    x = 47,366,421,066.86/331,838.10
  6. Step 6: Final answer
    x = 142,739.55

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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.