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Finding the Fourth Proportional to 194,149.65, 268,009.19 and 130,524.36

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Solution

The fourth proportional to 194,149.65, 268,009.19 and 130,524.36 is: 180,179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,149.65 : 268,009.19 = 130,524.36 : x
  2. Step 2: Convert to fraction form
    194,149.65/268,009.19 = 130,524.36/x
  3. Step 3: Cross multiply
    194,149.65x = 268,009.19 × 130,524.36
  4. Step 4: Simplify right side
    194,149.65x = 34,981,727,998.87
  5. Step 5: Solve for x
    x = 34,981,727,998.87/194,149.65
  6. Step 6: Final answer
    x = 180,179.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.