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Finding the Fourth Proportional to 281,164.89, 421,704.02 and 91,624.79

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Solution

The fourth proportional to 281,164.89, 421,704.02 and 91,624.79 is: 137,423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,164.89 : 421,704.02 = 91,624.79 : x
  2. Step 2: Convert to fraction form
    281,164.89/421,704.02 = 91,624.79/x
  3. Step 3: Cross multiply
    281,164.89x = 421,704.02 × 91,624.79
  4. Step 4: Simplify right side
    281,164.89x = 38,638,542,274.66
  5. Step 5: Solve for x
    x = 38,638,542,274.66/281,164.89
  6. Step 6: Final answer
    x = 137,423.07

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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.