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Finding the Fourth Proportional to 185,657.82, 278,414.08 and 65,668.40

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Solution

The fourth proportional to 185,657.82, 278,414.08 and 65,668.40 is: 98,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,657.82 : 278,414.08 = 65,668.40 : x
  2. Step 2: Convert to fraction form
    185,657.82/278,414.08 = 65,668.40/x
  3. Step 3: Cross multiply
    185,657.82x = 278,414.08 × 65,668.40
  4. Step 4: Simplify right side
    185,657.82x = 18,283,007,949.19
  5. Step 5: Solve for x
    x = 18,283,007,949.19/185,657.82
  6. Step 6: Final answer
    x = 98,476.91

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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.