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Finding the Fourth Proportional to 342,135.20, 513,202.80 and 202,167.20

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Solution

The fourth proportional to 342,135.20, 513,202.80 and 202,167.20 is: 303,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,135.20 : 513,202.80 = 202,167.20 : x
  2. Step 2: Convert to fraction form
    342,135.20/513,202.80 = 202,167.20/x
  3. Step 3: Cross multiply
    342,135.20x = 513,202.80 × 202,167.20
  4. Step 4: Simplify right side
    342,135.20x = 103,752,773,108.16
  5. Step 5: Solve for x
    x = 103,752,773,108.16/342,135.20
  6. Step 6: Final answer
    x = 303,250.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.