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Finding the Fourth Proportional to 192,176.70, 288,265.05 and 73,851.90

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Solution

The fourth proportional to 192,176.70, 288,265.05 and 73,851.90 is: 110,777.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,176.70 : 288,265.05 = 73,851.90 : x
  2. Step 2: Convert to fraction form
    192,176.70/288,265.05 = 73,851.90/x
  3. Step 3: Cross multiply
    192,176.70x = 288,265.05 × 73,851.90
  4. Step 4: Simplify right side
    192,176.70x = 21,288,921,646.10
  5. Step 5: Solve for x
    x = 21,288,921,646.10/192,176.70
  6. Step 6: Final answer
    x = 110,777.85

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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.