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Finding the Fourth Proportional to 160,982.84, 241,474.28 and 55,801.80

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Solution

The fourth proportional to 160,982.84, 241,474.28 and 55,801.80 is: 83,702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,982.84 : 241,474.28 = 55,801.80 : x
  2. Step 2: Convert to fraction form
    160,982.84/241,474.28 = 55,801.80/x
  3. Step 3: Cross multiply
    160,982.84x = 241,474.28 × 55,801.80
  4. Step 4: Simplify right side
    160,982.84x = 13,474,699,477.70
  5. Step 5: Solve for x
    x = 13,474,699,477.70/160,982.84
  6. Step 6: Final answer
    x = 83,702.71

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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.