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Finding the Fourth Proportional to 186,814.80, 280,295.10 and 68,498.10

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Solution

The fourth proportional to 186,814.80, 280,295.10 and 68,498.10 is: 102,773.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,814.80 : 280,295.10 = 68,498.10 : x
  2. Step 2: Convert to fraction form
    186,814.80/280,295.10 = 68,498.10/x
  3. Step 3: Cross multiply
    186,814.80x = 280,295.10 × 68,498.10
  4. Step 4: Simplify right side
    186,814.80x = 19,199,681,789.31
  5. Step 5: Solve for x
    x = 19,199,681,789.31/186,814.80
  6. Step 6: Final answer
    x = 102,773.88

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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.