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Finding the Fourth Proportional to 137,246.40, 206,197.65 and 122,812.20

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Solution

The fourth proportional to 137,246.40, 206,197.65 and 122,812.20 is: 184,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,246.40 : 206,197.65 = 122,812.20 : x
  2. Step 2: Convert to fraction form
    137,246.40/206,197.65 = 122,812.20/x
  3. Step 3: Cross multiply
    137,246.40x = 206,197.65 × 122,812.20
  4. Step 4: Simplify right side
    137,246.40x = 25,323,587,031.33
  5. Step 5: Solve for x
    x = 25,323,587,031.33/137,246.40
  6. Step 6: Final answer
    x = 184,511.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.