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Finding the Fourth Proportional to 200,816.01, 277,144.02 and 110,189.62

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Solution

The fourth proportional to 200,816.01, 277,144.02 and 110,189.62 is: 152,071.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,816.01 : 277,144.02 = 110,189.62 : x
  2. Step 2: Convert to fraction form
    200,816.01/277,144.02 = 110,189.62/x
  3. Step 3: Cross multiply
    200,816.01x = 277,144.02 × 110,189.62
  4. Step 4: Simplify right side
    200,816.01x = 30,538,394,249.07
  5. Step 5: Solve for x
    x = 30,538,394,249.07/200,816.01
  6. Step 6: Final answer
    x = 152,071.51

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1.5x scale

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.