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Finding the Fourth Proportional to 115,709.75, 159,394.02 and 98,658.44

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Solution

The fourth proportional to 115,709.75, 159,394.02 and 98,658.44 is: 135,905.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,709.75 : 159,394.02 = 98,658.44 : x
  2. Step 2: Convert to fraction form
    115,709.75/159,394.02 = 98,658.44/x
  3. Step 3: Cross multiply
    115,709.75x = 159,394.02 × 98,658.44
  4. Step 4: Simplify right side
    115,709.75x = 15,725,564,561.56
  5. Step 5: Solve for x
    x = 15,725,564,561.56/115,709.75
  6. Step 6: Final answer
    x = 135,905.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.