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Finding the Fourth Proportional to 261,993.67, 361,589.54 and 147,281.76

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Solution

The fourth proportional to 261,993.67, 361,589.54 and 147,281.76 is: 203,270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,993.67 : 361,589.54 = 147,281.76 : x
  2. Step 2: Convert to fraction form
    261,993.67/361,589.54 = 147,281.76/x
  3. Step 3: Cross multiply
    261,993.67x = 361,589.54 × 147,281.76
  4. Step 4: Simplify right side
    261,993.67x = 53,255,543,112.38
  5. Step 5: Solve for x
    x = 53,255,543,112.38/261,993.67
  6. Step 6: Final answer
    x = 203,270.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.