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Finding the Fourth Proportional to 96,738.40, 144,913.20 and 65,245.60

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Solution

The fourth proportional to 96,738.40, 144,913.20 and 65,245.60 is: 97,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,738.40 : 144,913.20 = 65,245.60 : x
  2. Step 2: Convert to fraction form
    96,738.40/144,913.20 = 65,245.60/x
  3. Step 3: Cross multiply
    96,738.40x = 144,913.20 × 65,245.60
  4. Step 4: Simplify right side
    96,738.40x = 9,454,948,681.92
  5. Step 5: Solve for x
    x = 9,454,948,681.92/96,738.40
  6. Step 6: Final answer
    x = 97,737.29

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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.