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Finding the Fourth Proportional to 201,966.90, 278,716.17 and 111,326.34

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Solution

The fourth proportional to 201,966.90, 278,716.17 and 111,326.34 is: 153,631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,966.90 : 278,716.17 = 111,326.34 : x
  2. Step 2: Convert to fraction form
    201,966.90/278,716.17 = 111,326.34/x
  3. Step 3: Cross multiply
    201,966.90x = 278,716.17 × 111,326.34
  4. Step 4: Simplify right side
    201,966.90x = 31,028,449,711.34
  5. Step 5: Solve for x
    x = 31,028,449,711.34/201,966.90
  6. Step 6: Final answer
    x = 153,631.36

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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.