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Finding the Fourth Proportional to 135,076.70, 202,491.20 and 51,908.06

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Solution

The fourth proportional to 135,076.70, 202,491.20 and 51,908.06 is: 77,814.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,076.70 : 202,491.20 = 51,908.06 : x
  2. Step 2: Convert to fraction form
    135,076.70/202,491.20 = 51,908.06/x
  3. Step 3: Cross multiply
    135,076.70x = 202,491.20 × 51,908.06
  4. Step 4: Simplify right side
    135,076.70x = 10,510,925,359.07
  5. Step 5: Solve for x
    x = 10,510,925,359.07/135,076.70
  6. Step 6: Final answer
    x = 77,814.50

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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.