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Finding the Fourth Proportional to 136,125.77, 204,064.11 and 57,245.54

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Solution

The fourth proportional to 136,125.77, 204,064.11 and 57,245.54 is: 85,815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,125.77 : 204,064.11 = 57,245.54 : x
  2. Step 2: Convert to fraction form
    136,125.77/204,064.11 = 57,245.54/x
  3. Step 3: Cross multiply
    136,125.77x = 204,064.11 × 57,245.54
  4. Step 4: Simplify right side
    136,125.77x = 11,681,759,151.25
  5. Step 5: Solve for x
    x = 11,681,759,151.25/136,125.77
  6. Step 6: Final answer
    x = 85,815.93

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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.