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Finding the Fourth Proportional to 194,532.48, 291,588.48 and 82,186.56

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Solution

The fourth proportional to 194,532.48, 291,588.48 and 82,186.56 is: 123,191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,532.48 : 291,588.48 = 82,186.56 : x
  2. Step 2: Convert to fraction form
    194,532.48/291,588.48 = 82,186.56/x
  3. Step 3: Cross multiply
    194,532.48x = 291,588.48 × 82,186.56
  4. Step 4: Simplify right side
    194,532.48x = 23,964,654,106.83
  5. Step 5: Solve for x
    x = 23,964,654,106.83/194,532.48
  6. Step 6: Final answer
    x = 123,191.02

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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.