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Finding the Fourth Proportional to 160,982.39, 241,418.90 and 55,776.80

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Solution

The fourth proportional to 160,982.39, 241,418.90 and 55,776.80 is: 83,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,982.39 : 241,418.90 = 55,776.80 : x
  2. Step 2: Convert to fraction form
    160,982.39/241,418.90 = 55,776.80/x
  3. Step 3: Cross multiply
    160,982.39x = 241,418.90 × 55,776.80
  4. Step 4: Simplify right side
    160,982.39x = 13,465,572,215.54
  5. Step 5: Solve for x
    x = 13,465,572,215.54/160,982.39
  6. Step 6: Final answer
    x = 83,646.25

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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.