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Finding the Fourth Proportional to 96,310.80, 144,466.20 and 61,405.20

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Solution

The fourth proportional to 96,310.80, 144,466.20 and 61,405.20 is: 92,107.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,310.80 : 144,466.20 = 61,405.20 : x
  2. Step 2: Convert to fraction form
    96,310.80/144,466.20 = 61,405.20/x
  3. Step 3: Cross multiply
    96,310.80x = 144,466.20 × 61,405.20
  4. Step 4: Simplify right side
    96,310.80x = 8,870,975,904.24
  5. Step 5: Solve for x
    x = 8,870,975,904.24/96,310.80
  6. Step 6: Final answer
    x = 92,107.80

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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.