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Finding the Fourth Proportional to 132,023, 182,203.26 and 72,418.52

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Solution

The fourth proportional to 132,023, 182,203.26 and 72,418.52 is: 99,943.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,023 : 182,203.26 = 72,418.52 : x
  2. Step 2: Convert to fraction form
    132,023/182,203.26 = 72,418.52/x
  3. Step 3: Cross multiply
    132,023x = 182,203.26 × 72,418.52
  4. Step 4: Simplify right side
    132,023x = 13,194,890,428.38
  5. Step 5: Solve for x
    x = 13,194,890,428.38/132,023
  6. Step 6: Final answer
    x = 99,943.88

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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.