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Finding the Fourth Proportional to 311,683.80, 467,190.36 and 134,274.36

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Solution

The fourth proportional to 311,683.80, 467,190.36 and 134,274.36 is: 201,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,683.80 : 467,190.36 = 134,274.36 : x
  2. Step 2: Convert to fraction form
    311,683.80/467,190.36 = 134,274.36/x
  3. Step 3: Cross multiply
    311,683.80x = 467,190.36 × 134,274.36
  4. Step 4: Simplify right side
    311,683.80x = 62,731,686,587.17
  5. Step 5: Solve for x
    x = 62,731,686,587.17/311,683.80
  6. Step 6: Final answer
    x = 201,267.07

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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.