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Finding the Fourth Proportional to 135,223.80, 202,854.90 and 41,719.80

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Solution

The fourth proportional to 135,223.80, 202,854.90 and 41,719.80 is: 62,585.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,223.80 : 202,854.90 = 41,719.80 : x
  2. Step 2: Convert to fraction form
    135,223.80/202,854.90 = 41,719.80/x
  3. Step 3: Cross multiply
    135,223.80x = 202,854.90 × 41,719.80
  4. Step 4: Simplify right side
    135,223.80x = 8,463,065,857.02
  5. Step 5: Solve for x
    x = 8,463,065,857.02/135,223.80
  6. Step 6: Final answer
    x = 62,585.62

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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.