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Finding the Fourth Proportional to 137,893.87, 206,649.44 and 62,830.57

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Solution

The fourth proportional to 137,893.87, 206,649.44 and 62,830.57 is: 94,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,893.87 : 206,649.44 = 62,830.57 : x
  2. Step 2: Convert to fraction form
    137,893.87/206,649.44 = 62,830.57/x
  3. Step 3: Cross multiply
    137,893.87x = 206,649.44 × 62,830.57
  4. Step 4: Simplify right side
    137,893.87x = 12,983,900,757.98
  5. Step 5: Solve for x
    x = 12,983,900,757.98/137,893.87
  6. Step 6: Final answer
    x = 94,158.65

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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.