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Finding the Fourth Proportional to 131,067, 180,872.46 and 71,451

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Solution

The fourth proportional to 131,067, 180,872.46 and 71,451 is: 98,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,067 : 180,872.46 = 71,451 : x
  2. Step 2: Convert to fraction form
    131,067/180,872.46 = 71,451/x
  3. Step 3: Cross multiply
    131,067x = 180,872.46 × 71,451
  4. Step 4: Simplify right side
    131,067x = 12,923,518,139.46
  5. Step 5: Solve for x
    x = 12,923,518,139.46/131,067
  6. Step 6: Final answer
    x = 98,602.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.