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Finding the Fourth Proportional to 186,789.81, 257,772.92 and 101,906.88

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Solution

The fourth proportional to 186,789.81, 257,772.92 and 101,906.88 is: 140,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,789.81 : 257,772.92 = 101,906.88 : x
  2. Step 2: Convert to fraction form
    186,789.81/257,772.92 = 101,906.88/x
  3. Step 3: Cross multiply
    186,789.81x = 257,772.92 × 101,906.88
  4. Step 4: Simplify right side
    186,789.81x = 26,268,832,549.51
  5. Step 5: Solve for x
    x = 26,268,832,549.51/186,789.81
  6. Step 6: Final answer
    x = 140,633.11

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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.