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Finding the Fourth Proportional to 194,306.34, 291,469.86 and 61,197

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Solution

The fourth proportional to 194,306.34, 291,469.86 and 61,197 is: 91,798.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,306.34 : 291,469.86 = 61,197 : x
  2. Step 2: Convert to fraction form
    194,306.34/291,469.86 = 61,197/x
  3. Step 3: Cross multiply
    194,306.34x = 291,469.86 × 61,197
  4. Step 4: Simplify right side
    194,306.34x = 17,837,081,022.42
  5. Step 5: Solve for x
    x = 17,837,081,022.42/194,306.34
  6. Step 6: Final answer
    x = 91,798.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.