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Finding the Fourth Proportional to 132,456.50, 182,784.41 and 75,099.68

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Solution

The fourth proportional to 132,456.50, 182,784.41 and 75,099.68 is: 103,634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,456.50 : 182,784.41 = 75,099.68 : x
  2. Step 2: Convert to fraction form
    132,456.50/182,784.41 = 75,099.68/x
  3. Step 3: Cross multiply
    132,456.50x = 182,784.41 × 75,099.68
  4. Step 4: Simplify right side
    132,456.50x = 13,727,049,410.57
  5. Step 5: Solve for x
    x = 13,727,049,410.57/132,456.50
  6. Step 6: Final answer
    x = 103,634.40

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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.