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Finding the Fourth Proportional to 194,522.30, 291,700.80 and 76,174.82

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Solution

The fourth proportional to 194,522.30, 291,700.80 and 76,174.82 is: 114,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,522.30 : 291,700.80 = 76,174.82 : x
  2. Step 2: Convert to fraction form
    194,522.30/291,700.80 = 76,174.82/x
  3. Step 3: Cross multiply
    194,522.30x = 291,700.80 × 76,174.82
  4. Step 4: Simplify right side
    194,522.30x = 22,220,254,475.35
  5. Step 5: Solve for x
    x = 22,220,254,475.35/194,522.30
  6. Step 6: Final answer
    x = 114,229.86

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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.