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Finding the Fourth Proportional to 160,104.68, 240,161.87 and 54,922.13

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Solution

The fourth proportional to 160,104.68, 240,161.87 and 54,922.13 is: 82,384.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,104.68 : 240,161.87 = 54,922.13 : x
  2. Step 2: Convert to fraction form
    160,104.68/240,161.87 = 54,922.13/x
  3. Step 3: Cross multiply
    160,104.68x = 240,161.87 × 54,922.13
  4. Step 4: Simplify right side
    160,104.68x = 13,190,200,381.68
  5. Step 5: Solve for x
    x = 13,190,200,381.68/160,104.68
  6. Step 6: Final answer
    x = 82,384.85

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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.