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Finding the Fourth Proportional to 129,225.98, 193,839.04 and 49,245.30

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Solution

The fourth proportional to 129,225.98, 193,839.04 and 49,245.30 is: 73,867.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,225.98 : 193,839.04 = 49,245.30 : x
  2. Step 2: Convert to fraction form
    129,225.98/193,839.04 = 49,245.30/x
  3. Step 3: Cross multiply
    129,225.98x = 193,839.04 × 49,245.30
  4. Step 4: Simplify right side
    129,225.98x = 9,545,661,068.80
  5. Step 5: Solve for x
    x = 9,545,661,068.80/129,225.98
  6. Step 6: Final answer
    x = 73,867.97

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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.