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Finding the Fourth Proportional to 129,951.86, 194,934.69 and 36,464.90

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Solution

The fourth proportional to 129,951.86, 194,934.69 and 36,464.90 is: 54,699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,951.86 : 194,934.69 = 36,464.90 : x
  2. Step 2: Convert to fraction form
    129,951.86/194,934.69 = 36,464.90/x
  3. Step 3: Cross multiply
    129,951.86x = 194,934.69 × 36,464.90
  4. Step 4: Simplify right side
    129,951.86x = 7,108,273,002.71
  5. Step 5: Solve for x
    x = 7,108,273,002.71/129,951.86
  6. Step 6: Final answer
    x = 54,699.28

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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.