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Finding the Fourth Proportional to 96,235.20, 144,007.20 and 65,131.20

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Solution

The fourth proportional to 96,235.20, 144,007.20 and 65,131.20 is: 97,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,235.20 : 144,007.20 = 65,131.20 : x
  2. Step 2: Convert to fraction form
    96,235.20/144,007.20 = 65,131.20/x
  3. Step 3: Cross multiply
    96,235.20x = 144,007.20 × 65,131.20
  4. Step 4: Simplify right side
    96,235.20x = 9,379,361,744.64
  5. Step 5: Solve for x
    x = 9,379,361,744.64/96,235.20
  6. Step 6: Final answer
    x = 97,462.90

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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.