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Finding the Fourth Proportional to 180,049.38, 248,470.75 and 99,478.76

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Solution

The fourth proportional to 180,049.38, 248,470.75 and 99,478.76 is: 137,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,049.38 : 248,470.75 = 99,478.76 : x
  2. Step 2: Convert to fraction form
    180,049.38/248,470.75 = 99,478.76/x
  3. Step 3: Cross multiply
    180,049.38x = 248,470.75 × 99,478.76
  4. Step 4: Simplify right side
    180,049.38x = 24,717,561,920.03
  5. Step 5: Solve for x
    x = 24,717,561,920.03/180,049.38
  6. Step 6: Final answer
    x = 137,282.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.