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Finding the Fourth Proportional to 186,732.91, 257,694.92 and 101,853.01

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Solution

The fourth proportional to 186,732.91, 257,694.92 and 101,853.01 is: 140,559.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,732.91 : 257,694.92 = 101,853.01 : x
  2. Step 2: Convert to fraction form
    186,732.91/257,694.92 = 101,853.01/x
  3. Step 3: Cross multiply
    186,732.91x = 257,694.92 × 101,853.01
  4. Step 4: Simplify right side
    186,732.91x = 26,247,003,263.71
  5. Step 5: Solve for x
    x = 26,247,003,263.71/186,732.91
  6. Step 6: Final answer
    x = 140,559.07

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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.