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Finding the Fourth Proportional to 129,502.13, 194,264.19 and 36,007.88

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Solution

The fourth proportional to 129,502.13, 194,264.19 and 36,007.88 is: 54,014.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,502.13 : 194,264.19 = 36,007.88 : x
  2. Step 2: Convert to fraction form
    129,502.13/194,264.19 = 36,007.88/x
  3. Step 3: Cross multiply
    129,502.13x = 194,264.19 × 36,007.88
  4. Step 4: Simplify right side
    129,502.13x = 6,995,040,670.50
  5. Step 5: Solve for x
    x = 6,995,040,670.50/129,502.13
  6. Step 6: Final answer
    x = 54,014.87

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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.