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Finding the Fourth Proportional to 211,691.97, 292,134.78 and 119,809.58

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Solution

The fourth proportional to 211,691.97, 292,134.78 and 119,809.58 is: 165,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,691.97 : 292,134.78 = 119,809.58 : x
  2. Step 2: Convert to fraction form
    211,691.97/292,134.78 = 119,809.58/x
  3. Step 3: Cross multiply
    211,691.97x = 292,134.78 × 119,809.58
  4. Step 4: Simplify right side
    211,691.97x = 35,000,543,834.52
  5. Step 5: Solve for x
    x = 35,000,543,834.52/211,691.97
  6. Step 6: Final answer
    x = 165,337.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.