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Finding the Fourth Proportional to 129,934.07, 194,978.85 and 56,062.07

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Solution

The fourth proportional to 129,934.07, 194,978.85 and 56,062.07 is: 84,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,934.07 : 194,978.85 = 56,062.07 : x
  2. Step 2: Convert to fraction form
    129,934.07/194,978.85 = 56,062.07/x
  3. Step 3: Cross multiply
    129,934.07x = 194,978.85 × 56,062.07
  4. Step 4: Simplify right side
    129,934.07x = 10,930,917,937.22
  5. Step 5: Solve for x
    x = 10,930,917,937.22/129,934.07
  6. Step 6: Final answer
    x = 84,126.65

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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.