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Finding the Fourth Proportional to 135,204.80, 202,816.80 and 41,710.40

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Solution

The fourth proportional to 135,204.80, 202,816.80 and 41,710.40 is: 62,568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,204.80 : 202,816.80 = 41,710.40 : x
  2. Step 2: Convert to fraction form
    135,204.80/202,816.80 = 41,710.40/x
  3. Step 3: Cross multiply
    135,204.80x = 202,816.80 × 41,710.40
  4. Step 4: Simplify right side
    135,204.80x = 8,459,569,854.72
  5. Step 5: Solve for x
    x = 8,459,569,854.72/135,204.80
  6. Step 6: Final answer
    x = 62,568.56

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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.