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Finding the Fourth Proportional to 132,058.26, 182,229.57 and 72,442.26

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Solution

The fourth proportional to 132,058.26, 182,229.57 and 72,442.26 is: 99,964.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,058.26 : 182,229.57 = 72,442.26 : x
  2. Step 2: Convert to fraction form
    132,058.26/182,229.57 = 72,442.26/x
  3. Step 3: Cross multiply
    132,058.26x = 182,229.57 × 72,442.26
  4. Step 4: Simplify right side
    132,058.26x = 13,201,121,889.63
  5. Step 5: Solve for x
    x = 13,201,121,889.63/132,058.26
  6. Step 6: Final answer
    x = 99,964.38

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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.