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Finding the Fourth Proportional to 186,663.28, 257,589.72 and 101,782

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Solution

The fourth proportional to 186,663.28, 257,589.72 and 101,782 is: 140,456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,663.28 : 257,589.72 = 101,782 : x
  2. Step 2: Convert to fraction form
    186,663.28/257,589.72 = 101,782/x
  3. Step 3: Cross multiply
    186,663.28x = 257,589.72 × 101,782
  4. Step 4: Simplify right side
    186,663.28x = 26,217,996,881.04
  5. Step 5: Solve for x
    x = 26,217,996,881.04/186,663.28
  6. Step 6: Final answer
    x = 140,456.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.