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Finding the Fourth Proportional to 140,914.77, 194,461.20 and 77,252.42

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Solution

The fourth proportional to 140,914.77, 194,461.20 and 77,252.42 is: 106,607.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,914.77 : 194,461.20 = 77,252.42 : x
  2. Step 2: Convert to fraction form
    140,914.77/194,461.20 = 77,252.42/x
  3. Step 3: Cross multiply
    140,914.77x = 194,461.20 × 77,252.42
  4. Step 4: Simplify right side
    140,914.77x = 15,022,597,323.80
  5. Step 5: Solve for x
    x = 15,022,597,323.80/140,914.77
  6. Step 6: Final answer
    x = 106,607.68

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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.