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Finding the Fourth Proportional to 160,873.76, 241,304.54 and 48,551

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Solution

The fourth proportional to 160,873.76, 241,304.54 and 48,551 is: 72,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,873.76 : 241,304.54 = 48,551 : x
  2. Step 2: Convert to fraction form
    160,873.76/241,304.54 = 48,551/x
  3. Step 3: Cross multiply
    160,873.76x = 241,304.54 × 48,551
  4. Step 4: Simplify right side
    160,873.76x = 11,715,576,721.54
  5. Step 5: Solve for x
    x = 11,715,576,721.54/160,873.76
  6. Step 6: Final answer
    x = 72,824.66

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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.