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Finding the Fourth Proportional to 201,771, 278,443.98 and 116,937.27

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Solution

The fourth proportional to 201,771, 278,443.98 and 116,937.27 is: 161,373.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,771 : 278,443.98 = 116,937.27 : x
  2. Step 2: Convert to fraction form
    201,771/278,443.98 = 116,937.27/x
  3. Step 3: Cross multiply
    201,771x = 278,443.98 × 116,937.27
  4. Step 4: Simplify right side
    201,771x = 32,560,478,869.13
  5. Step 5: Solve for x
    x = 32,560,478,869.13/201,771
  6. Step 6: Final answer
    x = 161,373.43

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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.