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Finding the Fourth Proportional to 186,646.62, 280,086.03 and 75,838.62

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Solution

The fourth proportional to 186,646.62, 280,086.03 and 75,838.62 is: 113,805.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,646.62 : 280,086.03 = 75,838.62 : x
  2. Step 2: Convert to fraction form
    186,646.62/280,086.03 = 75,838.62/x
  3. Step 3: Cross multiply
    186,646.62x = 280,086.03 × 75,838.62
  4. Step 4: Simplify right side
    186,646.62x = 21,241,337,996.48
  5. Step 5: Solve for x
    x = 21,241,337,996.48/186,646.62
  6. Step 6: Final answer
    x = 113,805.10

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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.