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Finding the Fourth Proportional to 361,843.68, 542,800.08 and 162,156

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Solution

The fourth proportional to 361,843.68, 542,800.08 and 162,156 is: 243,249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,843.68 : 542,800.08 = 162,156 : x
  2. Step 2: Convert to fraction form
    361,843.68/542,800.08 = 162,156/x
  3. Step 3: Cross multiply
    361,843.68x = 542,800.08 × 162,156
  4. Step 4: Simplify right side
    361,843.68x = 88,018,289,772.48
  5. Step 5: Solve for x
    x = 88,018,289,772.48/361,843.68
  6. Step 6: Final answer
    x = 243,249.49

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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.