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Finding the Fourth Proportional to 342,139.70, 513,209.55 and 202,171.70

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Solution

The fourth proportional to 342,139.70, 513,209.55 and 202,171.70 is: 303,257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,139.70 : 513,209.55 = 202,171.70 : x
  2. Step 2: Convert to fraction form
    342,139.70/513,209.55 = 202,171.70/x
  3. Step 3: Cross multiply
    342,139.70x = 513,209.55 × 202,171.70
  4. Step 4: Simplify right side
    342,139.70x = 103,756,447,179.74
  5. Step 5: Solve for x
    x = 103,756,447,179.74/342,139.70
  6. Step 6: Final answer
    x = 303,257.55

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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.