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Finding the Fourth Proportional to 201,975.78, 278,713.87 and 111,326.75

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Solution

The fourth proportional to 201,975.78, 278,713.87 and 111,326.75 is: 153,623.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,975.78 : 278,713.87 = 111,326.75 : x
  2. Step 2: Convert to fraction form
    201,975.78/278,713.87 = 111,326.75/x
  3. Step 3: Cross multiply
    201,975.78x = 278,713.87 × 111,326.75
  4. Step 4: Simplify right side
    201,975.78x = 31,028,309,327.02
  5. Step 5: Solve for x
    x = 31,028,309,327.02/201,975.78
  6. Step 6: Final answer
    x = 153,623.91

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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.