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Finding the Fourth Proportional to 137,493.60, 206,240.40 and 120,872.40

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Solution

The fourth proportional to 137,493.60, 206,240.40 and 120,872.40 is: 181,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,493.60 : 206,240.40 = 120,872.40 : x
  2. Step 2: Convert to fraction form
    137,493.60/206,240.40 = 120,872.40/x
  3. Step 3: Cross multiply
    137,493.60x = 206,240.40 × 120,872.40
  4. Step 4: Simplify right side
    137,493.60x = 24,928,772,124.96
  5. Step 5: Solve for x
    x = 24,928,772,124.96/137,493.60
  6. Step 6: Final answer
    x = 181,308.60

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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.