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Finding the Fourth Proportional to 200,024.52, 300,184.42 and 94,843.88

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Solution

The fourth proportional to 200,024.52, 300,184.42 and 94,843.88 is: 142,335.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,024.52 : 300,184.42 = 94,843.88 : x
  2. Step 2: Convert to fraction form
    200,024.52/300,184.42 = 94,843.88/x
  3. Step 3: Cross multiply
    200,024.52x = 300,184.42 × 94,843.88
  4. Step 4: Simplify right side
    200,024.52x = 28,470,655,108.35
  5. Step 5: Solve for x
    x = 28,470,655,108.35/200,024.52
  6. Step 6: Final answer
    x = 142,335.83

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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.