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Finding the Fourth Proportional to 186,988.88, 280,565.52 and 98,221.76

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Solution

The fourth proportional to 186,988.88, 280,565.52 and 98,221.76 is: 147,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,988.88 : 280,565.52 = 98,221.76 : x
  2. Step 2: Convert to fraction form
    186,988.88/280,565.52 = 98,221.76/x
  3. Step 3: Cross multiply
    186,988.88x = 280,565.52 × 98,221.76
  4. Step 4: Simplify right side
    186,988.88x = 27,557,639,169.72
  5. Step 5: Solve for x
    x = 27,557,639,169.72/186,988.88
  6. Step 6: Final answer
    x = 147,375.82

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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.