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Finding the Fourth Proportional to 137,489.60, 206,234.40 and 120,868.40

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Solution

The fourth proportional to 137,489.60, 206,234.40 and 120,868.40 is: 181,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,489.60 : 206,234.40 = 120,868.40 : x
  2. Step 2: Convert to fraction form
    137,489.60/206,234.40 = 120,868.40/x
  3. Step 3: Cross multiply
    137,489.60x = 206,234.40 × 120,868.40
  4. Step 4: Simplify right side
    137,489.60x = 24,927,221,952.96
  5. Step 5: Solve for x
    x = 24,927,221,952.96/137,489.60
  6. Step 6: Final answer
    x = 181,302.60

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1.5x scale

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.