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Finding the Fourth Proportional to 154,067.96, 231,024.16 and 75,063.80

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Solution

The fourth proportional to 154,067.96, 231,024.16 and 75,063.80 is: 112,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,067.96 : 231,024.16 = 75,063.80 : x
  2. Step 2: Convert to fraction form
    154,067.96/231,024.16 = 75,063.80/x
  3. Step 3: Cross multiply
    154,067.96x = 231,024.16 × 75,063.80
  4. Step 4: Simplify right side
    154,067.96x = 17,341,551,341.41
  5. Step 5: Solve for x
    x = 17,341,551,341.41/154,067.96
  6. Step 6: Final answer
    x = 112,557.80

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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.