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Finding the Fourth Proportional to 268,126.92, 402,190.24 and 68,447.24

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Solution

The fourth proportional to 268,126.92, 402,190.24 and 68,447.24 is: 102,670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,126.92 : 402,190.24 = 68,447.24 : x
  2. Step 2: Convert to fraction form
    268,126.92/402,190.24 = 68,447.24/x
  3. Step 3: Cross multiply
    268,126.92x = 402,190.24 × 68,447.24
  4. Step 4: Simplify right side
    268,126.92x = 27,528,809,700.87
  5. Step 5: Solve for x
    x = 27,528,809,700.87/268,126.92
  6. Step 6: Final answer
    x = 102,670.82

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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.