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Finding the Fourth Proportional to 161,454.60, 241,605.90 and 102,318.60

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Solution

The fourth proportional to 161,454.60, 241,605.90 and 102,318.60 is: 153,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,454.60 : 241,605.90 = 102,318.60 : x
  2. Step 2: Convert to fraction form
    161,454.60/241,605.90 = 102,318.60/x
  3. Step 3: Cross multiply
    161,454.60x = 241,605.90 × 102,318.60
  4. Step 4: Simplify right side
    161,454.60x = 24,720,777,439.74
  5. Step 5: Solve for x
    x = 24,720,777,439.74/161,454.60
  6. Step 6: Final answer
    x = 153,112.87

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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.