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Finding the Fourth Proportional to 136,773.78, 205,252.32 and 48,027.60

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Solution

The fourth proportional to 136,773.78, 205,252.32 and 48,027.60 is: 72,073.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,773.78 : 205,252.32 = 48,027.60 : x
  2. Step 2: Convert to fraction form
    136,773.78/205,252.32 = 48,027.60/x
  3. Step 3: Cross multiply
    136,773.78x = 205,252.32 × 48,027.60
  4. Step 4: Simplify right side
    136,773.78x = 9,857,776,324.03
  5. Step 5: Solve for x
    x = 9,857,776,324.03/136,773.78
  6. Step 6: Final answer
    x = 72,073.58

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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.