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Finding the Fourth Proportional to 161,863.15, 242,823.43 and 49,540.88

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Solution

The fourth proportional to 161,863.15, 242,823.43 and 49,540.88 is: 74,320.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,863.15 : 242,823.43 = 49,540.88 : x
  2. Step 2: Convert to fraction form
    161,863.15/242,823.43 = 49,540.88/x
  3. Step 3: Cross multiply
    161,863.15x = 242,823.43 × 49,540.88
  4. Step 4: Simplify right side
    161,863.15x = 12,029,686,406.82
  5. Step 5: Solve for x
    x = 12,029,686,406.82/161,863.15
  6. Step 6: Final answer
    x = 74,320.11

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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.