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Finding the Fourth Proportional to 254,822.16, 382,251.24 and 77,343.60

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Solution

The fourth proportional to 254,822.16, 382,251.24 and 77,343.60 is: 116,020.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,822.16 : 382,251.24 = 77,343.60 : x
  2. Step 2: Convert to fraction form
    254,822.16/382,251.24 = 77,343.60/x
  3. Step 3: Cross multiply
    254,822.16x = 382,251.24 × 77,343.60
  4. Step 4: Simplify right side
    254,822.16x = 29,564,687,006.06
  5. Step 5: Solve for x
    x = 29,564,687,006.06/254,822.16
  6. Step 6: Final answer
    x = 116,020.86

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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.