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Finding the Fourth Proportional to 132,643.28, 199,034.04 and 58,754

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Solution

The fourth proportional to 132,643.28, 199,034.04 and 58,754 is: 88,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,643.28 : 199,034.04 = 58,754 : x
  2. Step 2: Convert to fraction form
    132,643.28/199,034.04 = 58,754/x
  3. Step 3: Cross multiply
    132,643.28x = 199,034.04 × 58,754
  4. Step 4: Simplify right side
    132,643.28x = 11,694,045,986.16
  5. Step 5: Solve for x
    x = 11,694,045,986.16/132,643.28
  6. Step 6: Final answer
    x = 88,161.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.