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Finding the Fourth Proportional to 201,677.84, 278,304.84 and 111,016.09

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Solution

The fourth proportional to 201,677.84, 278,304.84 and 111,016.09 is: 153,196.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,677.84 : 278,304.84 = 111,016.09 : x
  2. Step 2: Convert to fraction form
    201,677.84/278,304.84 = 111,016.09/x
  3. Step 3: Cross multiply
    201,677.84x = 278,304.84 × 111,016.09
  4. Step 4: Simplify right side
    201,677.84x = 30,896,314,469.11
  5. Step 5: Solve for x
    x = 30,896,314,469.11/201,677.84
  6. Step 6: Final answer
    x = 153,196.38

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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.