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Finding the Fourth Proportional to 194,262.10, 291,566.22 and 99,556.78

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Solution

The fourth proportional to 194,262.10, 291,566.22 and 99,556.78 is: 149,423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,262.10 : 291,566.22 = 99,556.78 : x
  2. Step 2: Convert to fraction form
    194,262.10/291,566.22 = 99,556.78/x
  3. Step 3: Cross multiply
    194,262.10x = 291,566.22 × 99,556.78
  4. Step 4: Simplify right side
    194,262.10x = 29,027,394,019.97
  5. Step 5: Solve for x
    x = 29,027,394,019.97/194,262.10
  6. Step 6: Final answer
    x = 149,423.87

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1.5x scale

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.