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Finding the Fourth Proportional to 140,838, 194,356.44 and 81,222

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Solution

The fourth proportional to 140,838, 194,356.44 and 81,222 is: 112,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,838 : 194,356.44 = 81,222 : x
  2. Step 2: Convert to fraction form
    140,838/194,356.44 = 81,222/x
  3. Step 3: Cross multiply
    140,838x = 194,356.44 × 81,222
  4. Step 4: Simplify right side
    140,838x = 15,786,018,769.68
  5. Step 5: Solve for x
    x = 15,786,018,769.68/140,838
  6. Step 6: Final answer
    x = 112,086.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.