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Finding the Fourth Proportional to 135,138.98, 202,711.82 and 64,044.47

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Solution

The fourth proportional to 135,138.98, 202,711.82 and 64,044.47 is: 96,068.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,138.98 : 202,711.82 = 64,044.47 : x
  2. Step 2: Convert to fraction form
    135,138.98/202,711.82 = 64,044.47/x
  3. Step 3: Cross multiply
    135,138.98x = 202,711.82 × 64,044.47
  4. Step 4: Simplify right side
    135,138.98x = 12,982,571,261.19
  5. Step 5: Solve for x
    x = 12,982,571,261.19/135,138.98
  6. Step 6: Final answer
    x = 96,068.29

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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.