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Finding the Fourth Proportional to 140,991.84, 211,487.76 and 82,237.68

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Solution

The fourth proportional to 140,991.84, 211,487.76 and 82,237.68 is: 123,356.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,991.84 : 211,487.76 = 82,237.68 : x
  2. Step 2: Convert to fraction form
    140,991.84/211,487.76 = 82,237.68/x
  3. Step 3: Cross multiply
    140,991.84x = 211,487.76 × 82,237.68
  4. Step 4: Simplify right side
    140,991.84x = 17,392,262,730.80
  5. Step 5: Solve for x
    x = 17,392,262,730.80/140,991.84
  6. Step 6: Final answer
    x = 123,356.52

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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.