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Finding the Fourth Proportional to 135,108.76, 202,553.72 and 56,282

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Solution

The fourth proportional to 135,108.76, 202,553.72 and 56,282 is: 84,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,108.76 : 202,553.72 = 56,282 : x
  2. Step 2: Convert to fraction form
    135,108.76/202,553.72 = 56,282/x
  3. Step 3: Cross multiply
    135,108.76x = 202,553.72 × 56,282
  4. Step 4: Simplify right side
    135,108.76x = 11,400,128,469.04
  5. Step 5: Solve for x
    x = 11,400,128,469.04/135,108.76
  6. Step 6: Final answer
    x = 84,377.42

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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.