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Finding the Fourth Proportional to 96,405.62, 144,830.43 and 68,395.22

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Solution

The fourth proportional to 96,405.62, 144,830.43 and 68,395.22 is: 102,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,405.62 : 144,830.43 = 68,395.22 : x
  2. Step 2: Convert to fraction form
    96,405.62/144,830.43 = 68,395.22/x
  3. Step 3: Cross multiply
    96,405.62x = 144,830.43 × 68,395.22
  4. Step 4: Simplify right side
    96,405.62x = 9,905,709,122.54
  5. Step 5: Solve for x
    x = 9,905,709,122.54/96,405.62
  6. Step 6: Final answer
    x = 102,750.33

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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.