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Finding the Fourth Proportional to 135,058.52, 202,578.02 and 59,164.76

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Solution

The fourth proportional to 135,058.52, 202,578.02 and 59,164.76 is: 88,742.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,058.52 : 202,578.02 = 59,164.76 : x
  2. Step 2: Convert to fraction form
    135,058.52/202,578.02 = 59,164.76/x
  3. Step 3: Cross multiply
    135,058.52x = 202,578.02 × 59,164.76
  4. Step 4: Simplify right side
    135,058.52x = 11,985,479,934.58
  5. Step 5: Solve for x
    x = 11,985,479,934.58/135,058.52
  6. Step 6: Final answer
    x = 88,742.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.