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Finding the Fourth Proportional to 149,020.40, 222,947.40 and 96,532.40

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Solution

The fourth proportional to 149,020.40, 222,947.40 and 96,532.40 is: 144,420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,020.40 : 222,947.40 = 96,532.40 : x
  2. Step 2: Convert to fraction form
    149,020.40/222,947.40 = 96,532.40/x
  3. Step 3: Cross multiply
    149,020.40x = 222,947.40 × 96,532.40
  4. Step 4: Simplify right side
    149,020.40x = 21,521,647,595.76
  5. Step 5: Solve for x
    x = 21,521,647,595.76/149,020.40
  6. Step 6: Final answer
    x = 144,420.81

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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.