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Finding the Fourth Proportional to 201,878.56, 278,597.92 and 111,244.40

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Solution

The fourth proportional to 201,878.56, 278,597.92 and 111,244.40 is: 153,520.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,878.56 : 278,597.92 = 111,244.40 : x
  2. Step 2: Convert to fraction form
    201,878.56/278,597.92 = 111,244.40/x
  3. Step 3: Cross multiply
    201,878.56x = 278,597.92 × 111,244.40
  4. Step 4: Simplify right side
    201,878.56x = 30,992,458,451.65
  5. Step 5: Solve for x
    x = 30,992,458,451.65/201,878.56
  6. Step 6: Final answer
    x = 153,520.31

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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.