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Finding the Fourth Proportional to 132,296.88, 182,572.92 and 75,726.48

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Solution

The fourth proportional to 132,296.88, 182,572.92 and 75,726.48 is: 104,504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,296.88 : 182,572.92 = 75,726.48 : x
  2. Step 2: Convert to fraction form
    132,296.88/182,572.92 = 75,726.48/x
  3. Step 3: Cross multiply
    132,296.88x = 182,572.92 × 75,726.48
  4. Step 4: Simplify right side
    132,296.88x = 13,825,604,574.92
  5. Step 5: Solve for x
    x = 13,825,604,574.92/132,296.88
  6. Step 6: Final answer
    x = 104,504.39

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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.