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Finding the Fourth Proportional to 137,188.46, 205,648.84 and 57,249.46

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Solution

The fourth proportional to 137,188.46, 205,648.84 and 57,249.46 is: 85,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,188.46 : 205,648.84 = 57,249.46 : x
  2. Step 2: Convert to fraction form
    137,188.46/205,648.84 = 57,249.46/x
  3. Step 3: Cross multiply
    137,188.46x = 205,648.84 × 57,249.46
  4. Step 4: Simplify right side
    137,188.46x = 11,773,285,368.25
  5. Step 5: Solve for x
    x = 11,773,285,368.25/137,188.46
  6. Step 6: Final answer
    x = 85,818.33

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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.