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Finding the Fourth Proportional to 160,982.50, 241,473.75 and 55,801.46

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Solution

The fourth proportional to 160,982.50, 241,473.75 and 55,801.46 is: 83,702.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,982.50 : 241,473.75 = 55,801.46 : x
  2. Step 2: Convert to fraction form
    160,982.50/241,473.75 = 55,801.46/x
  3. Step 3: Cross multiply
    160,982.50x = 241,473.75 × 55,801.46
  4. Step 4: Simplify right side
    160,982.50x = 13,474,587,801.68
  5. Step 5: Solve for x
    x = 13,474,587,801.68/160,982.50
  6. Step 6: Final answer
    x = 83,702.19

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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.