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Finding the Fourth Proportional to 144,419.80, 216,629.70 and 97,180.60

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Solution

The fourth proportional to 144,419.80, 216,629.70 and 97,180.60 is: 145,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,419.80 : 216,629.70 = 97,180.60 : x
  2. Step 2: Convert to fraction form
    144,419.80/216,629.70 = 97,180.60/x
  3. Step 3: Cross multiply
    144,419.80x = 216,629.70 × 97,180.60
  4. Step 4: Simplify right side
    144,419.80x = 21,052,204,223.82
  5. Step 5: Solve for x
    x = 21,052,204,223.82/144,419.80
  6. Step 6: Final answer
    x = 145,770.90

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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.