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Finding the Fourth Proportional to 133,838.80, 200,623.20 and 49,544.80

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Solution

The fourth proportional to 133,838.80, 200,623.20 and 49,544.80 is: 74,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,838.80 : 200,623.20 = 49,544.80 : x
  2. Step 2: Convert to fraction form
    133,838.80/200,623.20 = 49,544.80/x
  3. Step 3: Cross multiply
    133,838.80x = 200,623.20 × 49,544.80
  4. Step 4: Simplify right side
    133,838.80x = 9,939,836,319.36
  5. Step 5: Solve for x
    x = 9,939,836,319.36/133,838.80
  6. Step 6: Final answer
    x = 74,267.23

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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.