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Finding the Fourth Proportional to 201,632.91, 278,251.30 and 110,986.93

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Solution

The fourth proportional to 201,632.91, 278,251.30 and 110,986.93 is: 153,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,632.91 : 278,251.30 = 110,986.93 : x
  2. Step 2: Convert to fraction form
    201,632.91/278,251.30 = 110,986.93/x
  3. Step 3: Cross multiply
    201,632.91x = 278,251.30 × 110,986.93
  4. Step 4: Simplify right side
    201,632.91x = 30,882,257,555.51
  5. Step 5: Solve for x
    x = 30,882,257,555.51/201,632.91
  6. Step 6: Final answer
    x = 153,160.80

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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.