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Finding the Fourth Proportional to 144,189.50, 216,290.22 and 49,484.78

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Solution

The fourth proportional to 144,189.50, 216,290.22 and 49,484.78 is: 74,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,189.50 : 216,290.22 = 49,484.78 : x
  2. Step 2: Convert to fraction form
    144,189.50/216,290.22 = 49,484.78/x
  3. Step 3: Cross multiply
    144,189.50x = 216,290.22 × 49,484.78
  4. Step 4: Simplify right side
    144,189.50x = 10,703,073,952.85
  5. Step 5: Solve for x
    x = 10,703,073,952.85/144,189.50
  6. Step 6: Final answer
    x = 74,229.22

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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.