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Finding the Fourth Proportional to 129,896.96, 194,851.92 and 36,412.16

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Solution

The fourth proportional to 129,896.96, 194,851.92 and 36,412.16 is: 54,620.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,896.96 : 194,851.92 = 36,412.16 : x
  2. Step 2: Convert to fraction form
    129,896.96/194,851.92 = 36,412.16/x
  3. Step 3: Cross multiply
    129,896.96x = 194,851.92 × 36,412.16
  4. Step 4: Simplify right side
    129,896.96x = 7,094,979,287.35
  5. Step 5: Solve for x
    x = 7,094,979,287.35/129,896.96
  6. Step 6: Final answer
    x = 54,620.06

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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.