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Finding the Fourth Proportional to 186,859.57, 280,122.66 and 68,503.27

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Solution

The fourth proportional to 186,859.57, 280,122.66 and 68,503.27 is: 102,693.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,859.57 : 280,122.66 = 68,503.27 : x
  2. Step 2: Convert to fraction form
    186,859.57/280,122.66 = 68,503.27/x
  3. Step 3: Cross multiply
    186,859.57x = 280,122.66 × 68,503.27
  4. Step 4: Simplify right side
    186,859.57x = 19,189,318,211.10
  5. Step 5: Solve for x
    x = 19,189,318,211.10/186,859.57
  6. Step 6: Final answer
    x = 102,693.79

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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.