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Finding the Fourth Proportional to 342,135.70, 513,203.55 and 202,167.70

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Solution

The fourth proportional to 342,135.70, 513,203.55 and 202,167.70 is: 303,251.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,135.70 : 513,203.55 = 202,167.70 : x
  2. Step 2: Convert to fraction form
    342,135.70/513,203.55 = 202,167.70/x
  3. Step 3: Cross multiply
    342,135.70x = 513,203.55 × 202,167.70
  4. Step 4: Simplify right side
    342,135.70x = 103,753,181,335.34
  5. Step 5: Solve for x
    x = 103,753,181,335.34/342,135.70
  6. Step 6: Final answer
    x = 303,251.55

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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.