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Finding the Fourth Proportional to 273,056.42, 409,584.57 and 86,067.86

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Solution

The fourth proportional to 273,056.42, 409,584.57 and 86,067.86 is: 129,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,056.42 : 409,584.57 = 86,067.86 : x
  2. Step 2: Convert to fraction form
    273,056.42/409,584.57 = 86,067.86/x
  3. Step 3: Cross multiply
    273,056.42x = 409,584.57 × 86,067.86
  4. Step 4: Simplify right side
    273,056.42x = 35,252,067,428.92
  5. Step 5: Solve for x
    x = 35,252,067,428.92/273,056.42
  6. Step 6: Final answer
    x = 129,101.77

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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.