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Finding the Fourth Proportional to 186,642.72, 257,568.12 and 101,761.20

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Solution

The fourth proportional to 186,642.72, 257,568.12 and 101,761.20 is: 140,431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,642.72 : 257,568.12 = 101,761.20 : x
  2. Step 2: Convert to fraction form
    186,642.72/257,568.12 = 101,761.20/x
  3. Step 3: Cross multiply
    186,642.72x = 257,568.12 × 101,761.20
  4. Step 4: Simplify right side
    186,642.72x = 26,210,440,972.94
  5. Step 5: Solve for x
    x = 26,210,440,972.94/186,642.72
  6. Step 6: Final answer
    x = 140,431.09

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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.