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Finding the Fourth Proportional to 137,993.67, 207,070.82 and 58,025.85

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Solution

The fourth proportional to 137,993.67, 207,070.82 and 58,025.85 is: 87,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,993.67 : 207,070.82 = 58,025.85 : x
  2. Step 2: Convert to fraction form
    137,993.67/207,070.82 = 58,025.85/x
  3. Step 3: Cross multiply
    137,993.67x = 207,070.82 × 58,025.85
  4. Step 4: Simplify right side
    137,993.67x = 12,015,460,340.70
  5. Step 5: Solve for x
    x = 12,015,460,340.70/137,993.67
  6. Step 6: Final answer
    x = 87,072.55

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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.