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Finding the Fourth Proportional to 129,543.86, 194,315.78 and 50,602.73

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Solution

The fourth proportional to 129,543.86, 194,315.78 and 50,602.73 is: 75,904.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,543.86 : 194,315.78 = 50,602.73 : x
  2. Step 2: Convert to fraction form
    129,543.86/194,315.78 = 50,602.73/x
  3. Step 3: Cross multiply
    129,543.86x = 194,315.78 × 50,602.73
  4. Step 4: Simplify right side
    129,543.86x = 9,832,908,105.01
  5. Step 5: Solve for x
    x = 9,832,908,105.01/129,543.86
  6. Step 6: Final answer
    x = 75,904.09

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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.