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Finding the Fourth Proportional to 165,122.40, 247,680.48 and 40,464.48

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Solution

The fourth proportional to 165,122.40, 247,680.48 and 40,464.48 is: 60,695.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,122.40 : 247,680.48 = 40,464.48 : x
  2. Step 2: Convert to fraction form
    165,122.40/247,680.48 = 40,464.48/x
  3. Step 3: Cross multiply
    165,122.40x = 247,680.48 × 40,464.48
  4. Step 4: Simplify right side
    165,122.40x = 10,022,261,829.35
  5. Step 5: Solve for x
    x = 10,022,261,829.35/165,122.40
  6. Step 6: Final answer
    x = 60,695.96

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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.