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Finding the Fourth Proportional to 96,951.28, 145,278.48 and 65,243.80

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Solution

The fourth proportional to 96,951.28, 145,278.48 and 65,243.80 is: 97,765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,951.28 : 145,278.48 = 65,243.80 : x
  2. Step 2: Convert to fraction form
    96,951.28/145,278.48 = 65,243.80/x
  3. Step 3: Cross multiply
    96,951.28x = 145,278.48 × 65,243.80
  4. Step 4: Simplify right side
    96,951.28x = 9,478,520,093.42
  5. Step 5: Solve for x
    x = 9,478,520,093.42/96,951.28
  6. Step 6: Final answer
    x = 97,765.81

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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.