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Finding the Fourth Proportional to 96,376.20, 144,564.30 and 78,865.80

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Solution

The fourth proportional to 96,376.20, 144,564.30 and 78,865.80 is: 118,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,376.20 : 144,564.30 = 78,865.80 : x
  2. Step 2: Convert to fraction form
    96,376.20/144,564.30 = 78,865.80/x
  3. Step 3: Cross multiply
    96,376.20x = 144,564.30 × 78,865.80
  4. Step 4: Simplify right side
    96,376.20x = 11,401,179,170.94
  5. Step 5: Solve for x
    x = 11,401,179,170.94/96,376.20
  6. Step 6: Final answer
    x = 118,298.70

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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.