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Finding the Fourth Proportional to 194,502.98, 291,684.26 and 82,191.87

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Solution

The fourth proportional to 194,502.98, 291,684.26 and 82,191.87 is: 123,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,502.98 : 291,684.26 = 82,191.87 : x
  2. Step 2: Convert to fraction form
    194,502.98/291,684.26 = 82,191.87/x
  3. Step 3: Cross multiply
    194,502.98x = 291,684.26 × 82,191.87
  4. Step 4: Simplify right side
    194,502.98x = 23,974,072,909.59
  5. Step 5: Solve for x
    x = 23,974,072,909.59/194,502.98
  6. Step 6: Final answer
    x = 123,258.13

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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.