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Finding the Fourth Proportional to 135,292.80, 202,996.80 and 85,411.20

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Solution

The fourth proportional to 135,292.80, 202,996.80 and 85,411.20 is: 128,153.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,292.80 : 202,996.80 = 85,411.20 : x
  2. Step 2: Convert to fraction form
    135,292.80/202,996.80 = 85,411.20/x
  3. Step 3: Cross multiply
    135,292.80x = 202,996.80 × 85,411.20
  4. Step 4: Simplify right side
    135,292.80x = 17,338,200,284.16
  5. Step 5: Solve for x
    x = 17,338,200,284.16/135,292.80
  6. Step 6: Final answer
    x = 128,153.16

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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.