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Finding the Fourth Proportional to 194,990.74, 269,089.01 and 114,419.61

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Solution

The fourth proportional to 194,990.74, 269,089.01 and 114,419.61 is: 157,900.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,990.74 : 269,089.01 = 114,419.61 : x
  2. Step 2: Convert to fraction form
    194,990.74/269,089.01 = 114,419.61/x
  3. Step 3: Cross multiply
    194,990.74x = 269,089.01 × 114,419.61
  4. Step 4: Simplify right side
    194,990.74x = 30,789,059,114.66
  5. Step 5: Solve for x
    x = 30,789,059,114.66/194,990.74
  6. Step 6: Final answer
    x = 157,900.11

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Why These Related Problems?

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