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Finding the Fourth Proportional to 201,700.86, 278,344.96 and 111,054.49

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Solution

The fourth proportional to 201,700.86, 278,344.96 and 111,054.49 is: 153,253.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,700.86 : 278,344.96 = 111,054.49 : x
  2. Step 2: Convert to fraction form
    201,700.86/278,344.96 = 111,054.49/x
  3. Step 3: Cross multiply
    201,700.86x = 278,344.96 × 111,054.49
  4. Step 4: Simplify right side
    201,700.86x = 30,911,458,169.06
  5. Step 5: Solve for x
    x = 30,911,458,169.06/201,700.86
  6. Step 6: Final answer
    x = 153,253.97

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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.