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Finding the Fourth Proportional to 194,328.46, 291,658.84 and 76,082.84

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Solution

The fourth proportional to 194,328.46, 291,658.84 and 76,082.84 is: 114,189.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,328.46 : 291,658.84 = 76,082.84 : x
  2. Step 2: Convert to fraction form
    194,328.46/291,658.84 = 76,082.84/x
  3. Step 3: Cross multiply
    194,328.46x = 291,658.84 × 76,082.84
  4. Step 4: Simplify right side
    194,328.46x = 22,190,231,209.80
  5. Step 5: Solve for x
    x = 22,190,231,209.80/194,328.46
  6. Step 6: Final answer
    x = 114,189.30

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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.