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Finding the Fourth Proportional to 186,854.43, 280,114.99 and 68,498.15

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Solution

The fourth proportional to 186,854.43, 280,114.99 and 68,498.15 is: 102,686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,854.43 : 280,114.99 = 68,498.15 : x
  2. Step 2: Convert to fraction form
    186,854.43/280,114.99 = 68,498.15/x
  3. Step 3: Cross multiply
    186,854.43x = 280,114.99 × 68,498.15
  4. Step 4: Simplify right side
    186,854.43x = 19,187,356,859.20
  5. Step 5: Solve for x
    x = 19,187,356,859.20/186,854.43
  6. Step 6: Final answer
    x = 102,686.12

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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.