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Finding the Fourth Proportional to 492,351.66, 738,651.96 and 137,365.50

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Solution

The fourth proportional to 492,351.66, 738,651.96 and 137,365.50 is: 206,082.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,351.66 : 738,651.96 = 137,365.50 : x
  2. Step 2: Convert to fraction form
    492,351.66/738,651.96 = 137,365.50/x
  3. Step 3: Cross multiply
    492,351.66x = 738,651.96 × 137,365.50
  4. Step 4: Simplify right side
    492,351.66x = 101,465,295,811.38
  5. Step 5: Solve for x
    x = 101,465,295,811.38/492,351.66
  6. Step 6: Final answer
    x = 206,082.98

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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.