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Finding the Fourth Proportional to 162,160.56, 243,240.87 and 83,224.44

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Solution

The fourth proportional to 162,160.56, 243,240.87 and 83,224.44 is: 124,836.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,160.56 : 243,240.87 = 83,224.44 : x
  2. Step 2: Convert to fraction form
    162,160.56/243,240.87 = 83,224.44/x
  3. Step 3: Cross multiply
    162,160.56x = 243,240.87 × 83,224.44
  4. Step 4: Simplify right side
    162,160.56x = 20,243,585,190.86
  5. Step 5: Solve for x
    x = 20,243,585,190.86/162,160.56
  6. Step 6: Final answer
    x = 124,836.68

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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.