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Finding the Fourth Proportional to 136,474.54, 204,826.84 and 57,645.34

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Solution

The fourth proportional to 136,474.54, 204,826.84 and 57,645.34 is: 86,516.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,474.54 : 204,826.84 = 57,645.34 : x
  2. Step 2: Convert to fraction form
    136,474.54/204,826.84 = 57,645.34/x
  3. Step 3: Cross multiply
    136,474.54x = 204,826.84 × 57,645.34
  4. Step 4: Simplify right side
    136,474.54x = 11,807,312,832.93
  5. Step 5: Solve for x
    x = 11,807,312,832.93/136,474.54
  6. Step 6: Final answer
    x = 86,516.60

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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.