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Finding the Fourth Proportional to 261,244.82, 391,978.18 and 142,777.76

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Solution

The fourth proportional to 261,244.82, 391,978.18 and 142,777.76 is: 214,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,244.82 : 391,978.18 = 142,777.76 : x
  2. Step 2: Convert to fraction form
    261,244.82/391,978.18 = 142,777.76/x
  3. Step 3: Cross multiply
    261,244.82x = 391,978.18 × 142,777.76
  4. Step 4: Simplify right side
    261,244.82x = 55,965,766,509.28
  5. Step 5: Solve for x
    x = 55,965,766,509.28/261,244.82
  6. Step 6: Final answer
    x = 214,227.28

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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.