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Finding the Fourth Proportional to 342,133.70, 513,200.55 and 202,165.70

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Solution

The fourth proportional to 342,133.70, 513,200.55 and 202,165.70 is: 303,248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,133.70 : 513,200.55 = 202,165.70 : x
  2. Step 2: Convert to fraction form
    342,133.70/513,200.55 = 202,165.70/x
  3. Step 3: Cross multiply
    342,133.70x = 513,200.55 × 202,165.70
  4. Step 4: Simplify right side
    342,133.70x = 103,751,548,431.14
  5. Step 5: Solve for x
    x = 103,751,548,431.14/342,133.70
  6. Step 6: Final answer
    x = 303,248.55

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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.