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Finding the Fourth Proportional to 186,659.28, 257,595.12 and 101,781

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Solution

The fourth proportional to 186,659.28, 257,595.12 and 101,781 is: 140,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,659.28 : 257,595.12 = 101,781 : x
  2. Step 2: Convert to fraction form
    186,659.28/257,595.12 = 101,781/x
  3. Step 3: Cross multiply
    186,659.28x = 257,595.12 × 101,781
  4. Step 4: Simplify right side
    186,659.28x = 26,218,288,908.72
  5. Step 5: Solve for x
    x = 26,218,288,908.72/186,659.28
  6. Step 6: Final answer
    x = 140,460.68

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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.