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Finding the Fourth Proportional to 132,456.57, 182,784.51 and 75,099.75

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Solution

The fourth proportional to 132,456.57, 182,784.51 and 75,099.75 is: 103,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,456.57 : 182,784.51 = 75,099.75 : x
  2. Step 2: Convert to fraction form
    132,456.57/182,784.51 = 75,099.75/x
  3. Step 3: Cross multiply
    132,456.57x = 182,784.51 × 75,099.75
  4. Step 4: Simplify right side
    132,456.57x = 13,727,071,004.87
  5. Step 5: Solve for x
    x = 13,727,071,004.87/132,456.57
  6. Step 6: Final answer
    x = 103,634.50

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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.