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Finding the Fourth Proportional to 159,062.05, 238,418.11 and 65,516.77

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Solution

The fourth proportional to 159,062.05, 238,418.11 and 65,516.77 is: 98,203.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,062.05 : 238,418.11 = 65,516.77 : x
  2. Step 2: Convert to fraction form
    159,062.05/238,418.11 = 65,516.77/x
  3. Step 3: Cross multiply
    159,062.05x = 238,418.11 × 65,516.77
  4. Step 4: Simplify right side
    159,062.05x = 15,620,384,476.70
  5. Step 5: Solve for x
    x = 15,620,384,476.70/159,062.05
  6. Step 6: Final answer
    x = 98,203.09

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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.