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Finding the Fourth Proportional to 156,143.01, 234,179.49 and 71,822.19

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Solution

The fourth proportional to 156,143.01, 234,179.49 and 71,822.19 is: 107,717.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,143.01 : 234,179.49 = 71,822.19 : x
  2. Step 2: Convert to fraction form
    156,143.01/234,179.49 = 71,822.19/x
  3. Step 3: Cross multiply
    156,143.01x = 234,179.49 × 71,822.19
  4. Step 4: Simplify right side
    156,143.01x = 16,819,284,568.39
  5. Step 5: Solve for x
    x = 16,819,284,568.39/156,143.01
  6. Step 6: Final answer
    x = 107,717.18

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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.