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Finding the Fourth Proportional to 140,602.17, 194,031 and 76,939.98

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Solution

The fourth proportional to 140,602.17, 194,031 and 76,939.98 is: 106,177.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,602.17 : 194,031 = 76,939.98 : x
  2. Step 2: Convert to fraction form
    140,602.17/194,031 = 76,939.98/x
  3. Step 3: Cross multiply
    140,602.17x = 194,031 × 76,939.98
  4. Step 4: Simplify right side
    140,602.17x = 14,928,741,259.38
  5. Step 5: Solve for x
    x = 14,928,741,259.38/140,602.17
  6. Step 6: Final answer
    x = 106,177.18

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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.