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Finding the Fourth Proportional to 160,983.89, 241,421.15 and 55,778.30

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Solution

The fourth proportional to 160,983.89, 241,421.15 and 55,778.30 is: 83,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,983.89 : 241,421.15 = 55,778.30 : x
  2. Step 2: Convert to fraction form
    160,983.89/241,421.15 = 55,778.30/x
  3. Step 3: Cross multiply
    160,983.89x = 241,421.15 × 55,778.30
  4. Step 4: Simplify right side
    160,983.89x = 13,466,059,845.05
  5. Step 5: Solve for x
    x = 13,466,059,845.05/160,983.89
  6. Step 6: Final answer
    x = 83,648.50

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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.