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Finding the Fourth Proportional to 115,659.54, 173,371.14 and 65,634

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Solution

The fourth proportional to 115,659.54, 173,371.14 and 65,634 is: 98,383.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,659.54 : 173,371.14 = 65,634 : x
  2. Step 2: Convert to fraction form
    115,659.54/173,371.14 = 65,634/x
  3. Step 3: Cross multiply
    115,659.54x = 173,371.14 × 65,634
  4. Step 4: Simplify right side
    115,659.54x = 11,379,041,402.76
  5. Step 5: Solve for x
    x = 11,379,041,402.76/115,659.54
  6. Step 6: Final answer
    x = 98,383.94

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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.