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Finding the Fourth Proportional to 194,991.59, 292,497.84 and 54,761.15

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Solution

The fourth proportional to 194,991.59, 292,497.84 and 54,761.15 is: 82,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,991.59 : 292,497.84 = 54,761.15 : x
  2. Step 2: Convert to fraction form
    194,991.59/292,497.84 = 54,761.15/x
  3. Step 3: Cross multiply
    194,991.59x = 292,497.84 × 54,761.15
  4. Step 4: Simplify right side
    194,991.59x = 16,017,516,628.43
  5. Step 5: Solve for x
    x = 16,017,516,628.43/194,991.59
  6. Step 6: Final answer
    x = 82,144.66

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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.