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Finding the Fourth Proportional to 149,493.60, 223,851.60 and 96,616.80

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Solution

The fourth proportional to 149,493.60, 223,851.60 and 96,616.80 is: 144,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,493.60 : 223,851.60 = 96,616.80 : x
  2. Step 2: Convert to fraction form
    149,493.60/223,851.60 = 96,616.80/x
  3. Step 3: Cross multiply
    149,493.60x = 223,851.60 × 96,616.80
  4. Step 4: Simplify right side
    149,493.60x = 21,627,825,266.88
  5. Step 5: Solve for x
    x = 21,627,825,266.88/149,493.60
  6. Step 6: Final answer
    x = 144,673.92

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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.