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Finding the Fourth Proportional to 186,857.80, 280,286.70 and 185,691.40

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Solution

The fourth proportional to 186,857.80, 280,286.70 and 185,691.40 is: 278,537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,857.80 : 280,286.70 = 185,691.40 : x
  2. Step 2: Convert to fraction form
    186,857.80/280,286.70 = 185,691.40/x
  3. Step 3: Cross multiply
    186,857.80x = 280,286.70 × 185,691.40
  4. Step 4: Simplify right side
    186,857.80x = 52,046,829,724.38
  5. Step 5: Solve for x
    x = 52,046,829,724.38/186,857.80
  6. Step 6: Final answer
    x = 278,537.10

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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.