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Finding the Fourth Proportional to 132,358.97, 182,562.98 and 87,022.46

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Solution

The fourth proportional to 132,358.97, 182,562.98 and 87,022.46 is: 120,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,358.97 : 182,562.98 = 87,022.46 : x
  2. Step 2: Convert to fraction form
    132,358.97/182,562.98 = 87,022.46/x
  3. Step 3: Cross multiply
    132,358.97x = 182,562.98 × 87,022.46
  4. Step 4: Simplify right side
    132,358.97x = 15,887,078,276.60
  5. Step 5: Solve for x
    x = 15,887,078,276.60/132,358.97
  6. Step 6: Final answer
    x = 120,030.24

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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.