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Finding the Fourth Proportional to 201,270.72, 277,711.20 and 111,844.80

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Solution

The fourth proportional to 201,270.72, 277,711.20 and 111,844.80 is: 154,322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,270.72 : 277,711.20 = 111,844.80 : x
  2. Step 2: Convert to fraction form
    201,270.72/277,711.20 = 111,844.80/x
  3. Step 3: Cross multiply
    201,270.72x = 277,711.20 × 111,844.80
  4. Step 4: Simplify right side
    201,270.72x = 31,060,553,621.76
  5. Step 5: Solve for x
    x = 31,060,553,621.76/201,270.72
  6. Step 6: Final answer
    x = 154,322.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.