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Finding the Fourth Proportional to 160,580.72, 241,020.48 and 81,753.92

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Solution

The fourth proportional to 160,580.72, 241,020.48 and 81,753.92 is: 122,706.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,580.72 : 241,020.48 = 81,753.92 : x
  2. Step 2: Convert to fraction form
    160,580.72/241,020.48 = 81,753.92/x
  3. Step 3: Cross multiply
    160,580.72x = 241,020.48 × 81,753.92
  4. Step 4: Simplify right side
    160,580.72x = 19,704,369,040.28
  5. Step 5: Solve for x
    x = 19,704,369,040.28/160,580.72
  6. Step 6: Final answer
    x = 122,706.94

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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.