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Finding the Fourth Proportional to 186,903.91, 280,257.35 and 81,599.86

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Solution

The fourth proportional to 186,903.91, 280,257.35 and 81,599.86 is: 122,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,903.91 : 280,257.35 = 81,599.86 : x
  2. Step 2: Convert to fraction form
    186,903.91/280,257.35 = 81,599.86/x
  3. Step 3: Cross multiply
    186,903.91x = 280,257.35 × 81,599.86
  4. Step 4: Simplify right side
    186,903.91x = 22,868,960,523.97
  5. Step 5: Solve for x
    x = 22,868,960,523.97/186,903.91
  6. Step 6: Final answer
    x = 122,356.78

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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.