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Finding the Fourth Proportional to 96,616.40, 144,985.40 and 41,211.60

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Solution

The fourth proportional to 96,616.40, 144,985.40 and 41,211.60 is: 61,843.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,616.40 : 144,985.40 = 41,211.60 : x
  2. Step 2: Convert to fraction form
    96,616.40/144,985.40 = 41,211.60/x
  3. Step 3: Cross multiply
    96,616.40x = 144,985.40 × 41,211.60
  4. Step 4: Simplify right side
    96,616.40x = 5,975,080,310.64
  5. Step 5: Solve for x
    x = 5,975,080,310.64/96,616.40
  6. Step 6: Final answer
    x = 61,843.33

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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.