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Finding the Fourth Proportional to 115,486.50, 159,371.38 and 65,188.74

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Solution

The fourth proportional to 115,486.50, 159,371.38 and 65,188.74 is: 89,960.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,486.50 : 159,371.38 = 65,188.74 : x
  2. Step 2: Convert to fraction form
    115,486.50/159,371.38 = 65,188.74/x
  3. Step 3: Cross multiply
    115,486.50x = 159,371.38 × 65,188.74
  4. Step 4: Simplify right side
    115,486.50x = 10,389,219,454.26
  5. Step 5: Solve for x
    x = 10,389,219,454.26/115,486.50
  6. Step 6: Final answer
    x = 89,960.47

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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.