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Finding the Fourth Proportional to 384,868.88, 577,248.27 and 132,144.63

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Solution

The fourth proportional to 384,868.88, 577,248.27 and 132,144.63 is: 198,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,868.88 : 577,248.27 = 132,144.63 : x
  2. Step 2: Convert to fraction form
    384,868.88/577,248.27 = 132,144.63/x
  3. Step 3: Cross multiply
    384,868.88x = 577,248.27 × 132,144.63
  4. Step 4: Simplify right side
    384,868.88x = 76,280,259,057.29
  5. Step 5: Solve for x
    x = 76,280,259,057.29/384,868.88
  6. Step 6: Final answer
    x = 198,198.05

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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.