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Finding the Fourth Proportional to 161,093.62, 241,641.10 and 54,478.13

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Solution

The fourth proportional to 161,093.62, 241,641.10 and 54,478.13 is: 81,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,093.62 : 241,641.10 = 54,478.13 : x
  2. Step 2: Convert to fraction form
    161,093.62/241,641.10 = 54,478.13/x
  3. Step 3: Cross multiply
    161,093.62x = 241,641.10 × 54,478.13
  4. Step 4: Simplify right side
    161,093.62x = 13,164,155,664.85
  5. Step 5: Solve for x
    x = 13,164,155,664.85/161,093.62
  6. Step 6: Final answer
    x = 81,717.42

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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.