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Finding the Fourth Proportional to 202,332.60, 303,134.40 and 96,919.20

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Solution

The fourth proportional to 202,332.60, 303,134.40 and 96,919.20 is: 145,204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,332.60 : 303,134.40 = 96,919.20 : x
  2. Step 2: Convert to fraction form
    202,332.60/303,134.40 = 96,919.20/x
  3. Step 3: Cross multiply
    202,332.60x = 303,134.40 × 96,919.20
  4. Step 4: Simplify right side
    202,332.60x = 29,379,543,540.48
  5. Step 5: Solve for x
    x = 29,379,543,540.48/202,332.60
  6. Step 6: Final answer
    x = 145,204.20

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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.