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Finding the Fourth Proportional to 492,197.85, 738,313.25 and 137,182.14

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Solution

The fourth proportional to 492,197.85, 738,313.25 and 137,182.14 is: 205,777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,197.85 : 738,313.25 = 137,182.14 : x
  2. Step 2: Convert to fraction form
    492,197.85/738,313.25 = 137,182.14/x
  3. Step 3: Cross multiply
    492,197.85x = 738,313.25 × 137,182.14
  4. Step 4: Simplify right side
    492,197.85x = 101,283,390,939.44
  5. Step 5: Solve for x
    x = 101,283,390,939.44/492,197.85
  6. Step 6: Final answer
    x = 205,777.80

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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.