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Finding the Fourth Proportional to 254,561.96, 381,862.08 and 77,083.27

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Solution

The fourth proportional to 254,561.96, 381,862.08 and 77,083.27 is: 115,630.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,561.96 : 381,862.08 = 77,083.27 : x
  2. Step 2: Convert to fraction form
    254,561.96/381,862.08 = 77,083.27/x
  3. Step 3: Cross multiply
    254,561.96x = 381,862.08 × 77,083.27
  4. Step 4: Simplify right side
    254,561.96x = 29,435,176,860.75
  5. Step 5: Solve for x
    x = 29,435,176,860.75/254,561.96
  6. Step 6: Final answer
    x = 115,630.70

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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.