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Finding the Fourth Proportional to 194,489.17, 291,733.80 and 61,379.84

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Solution

The fourth proportional to 194,489.17, 291,733.80 and 61,379.84 is: 92,069.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,489.17 : 291,733.80 = 61,379.84 : x
  2. Step 2: Convert to fraction form
    194,489.17/291,733.80 = 61,379.84/x
  3. Step 3: Cross multiply
    194,489.17x = 291,733.80 × 61,379.84
  4. Step 4: Simplify right side
    194,489.17x = 17,906,574,811.01
  5. Step 5: Solve for x
    x = 17,906,574,811.01/194,489.17
  6. Step 6: Final answer
    x = 92,069.78

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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.