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Finding the Fourth Proportional to 96,201.70, 144,448.35 and 74,040.10

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Solution

The fourth proportional to 96,201.70, 144,448.35 and 74,040.10 is: 111,172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,201.70 : 144,448.35 = 74,040.10 : x
  2. Step 2: Convert to fraction form
    96,201.70/144,448.35 = 74,040.10/x
  3. Step 3: Cross multiply
    96,201.70x = 144,448.35 × 74,040.10
  4. Step 4: Simplify right side
    96,201.70x = 10,694,970,278.84
  5. Step 5: Solve for x
    x = 10,694,970,278.84/96,201.70
  6. Step 6: Final answer
    x = 111,172.36

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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.