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Finding the Fourth Proportional to 133,737.88, 200,429.70 and 111,595

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Solution

The fourth proportional to 133,737.88, 200,429.70 and 111,595 is: 167,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,737.88 : 200,429.70 = 111,595 : x
  2. Step 2: Convert to fraction form
    133,737.88/200,429.70 = 111,595/x
  3. Step 3: Cross multiply
    133,737.88x = 200,429.70 × 111,595
  4. Step 4: Simplify right side
    133,737.88x = 22,366,952,371.50
  5. Step 5: Solve for x
    x = 22,366,952,371.50/133,737.88
  6. Step 6: Final answer
    x = 167,244.71

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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.