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Finding the Fourth Proportional to 186,759, 257,727.42 and 101,876.40

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Solution

The fourth proportional to 186,759, 257,727.42 and 101,876.40 is: 140,589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,759 : 257,727.42 = 101,876.40 : x
  2. Step 2: Convert to fraction form
    186,759/257,727.42 = 101,876.40/x
  3. Step 3: Cross multiply
    186,759x = 257,727.42 × 101,876.40
  4. Step 4: Simplify right side
    186,759x = 26,256,341,730.89
  5. Step 5: Solve for x
    x = 26,256,341,730.89/186,759
  6. Step 6: Final answer
    x = 140,589.43

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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.