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Finding the Fourth Proportional to 114,901.20, 172,481.40 and 68,180.40

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Solution

The fourth proportional to 114,901.20, 172,481.40 and 68,180.40 is: 102,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,901.20 : 172,481.40 = 68,180.40 : x
  2. Step 2: Convert to fraction form
    114,901.20/172,481.40 = 68,180.40/x
  3. Step 3: Cross multiply
    114,901.20x = 172,481.40 × 68,180.40
  4. Step 4: Simplify right side
    114,901.20x = 11,759,850,844.56
  5. Step 5: Solve for x
    x = 11,759,850,844.56/114,901.20
  6. Step 6: Final answer
    x = 102,347.50

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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.