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Finding the Fourth Proportional to 254,551.68, 381,837.24 and 67,564.80

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Solution

The fourth proportional to 254,551.68, 381,837.24 and 67,564.80 is: 101,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,551.68 : 381,837.24 = 67,564.80 : x
  2. Step 2: Convert to fraction form
    254,551.68/381,837.24 = 67,564.80/x
  3. Step 3: Cross multiply
    254,551.68x = 381,837.24 × 67,564.80
  4. Step 4: Simplify right side
    254,551.68x = 25,798,756,753.15
  5. Step 5: Solve for x
    x = 25,798,756,753.15/254,551.68
  6. Step 6: Final answer
    x = 101,349.78

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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.