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Finding the Fourth Proportional to 194,163.65, 291,262.10 and 59,258.09

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Solution

The fourth proportional to 194,163.65, 291,262.10 and 59,258.09 is: 88,892.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,163.65 : 291,262.10 = 59,258.09 : x
  2. Step 2: Convert to fraction form
    194,163.65/291,262.10 = 59,258.09/x
  3. Step 3: Cross multiply
    194,163.65x = 291,262.10 × 59,258.09
  4. Step 4: Simplify right side
    194,163.65x = 17,259,633,982.79
  5. Step 5: Solve for x
    x = 17,259,633,982.79/194,163.65
  6. Step 6: Final answer
    x = 88,892.20

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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.