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Finding the Fourth Proportional to 160,654.64, 241,020.12 and 55,474.48

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Solution

The fourth proportional to 160,654.64, 241,020.12 and 55,474.48 is: 83,224.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,654.64 : 241,020.12 = 55,474.48 : x
  2. Step 2: Convert to fraction form
    160,654.64/241,020.12 = 55,474.48/x
  3. Step 3: Cross multiply
    160,654.64x = 241,020.12 × 55,474.48
  4. Step 4: Simplify right side
    160,654.64x = 13,370,465,826.54
  5. Step 5: Solve for x
    x = 13,370,465,826.54/160,654.64
  6. Step 6: Final answer
    x = 83,224.90

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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.