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Finding the Fourth Proportional to 135,265.70, 202,726.02 and 64,188.20

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Solution

The fourth proportional to 135,265.70, 202,726.02 and 64,188.20 is: 96,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,265.70 : 202,726.02 = 64,188.20 : x
  2. Step 2: Convert to fraction form
    135,265.70/202,726.02 = 64,188.20/x
  3. Step 3: Cross multiply
    135,265.70x = 202,726.02 × 64,188.20
  4. Step 4: Simplify right side
    135,265.70x = 13,012,618,316.96
  5. Step 5: Solve for x
    x = 13,012,618,316.96/135,265.70
  6. Step 6: Final answer
    x = 96,200.43

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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.