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Finding the Fourth Proportional to 201,491.81, 278,049.92 and 110,842.02

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Solution

The fourth proportional to 201,491.81, 278,049.92 and 110,842.02 is: 152,957.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,491.81 : 278,049.92 = 110,842.02 : x
  2. Step 2: Convert to fraction form
    201,491.81/278,049.92 = 110,842.02/x
  3. Step 3: Cross multiply
    201,491.81x = 278,049.92 × 110,842.02
  4. Step 4: Simplify right side
    201,491.81x = 30,819,614,793.64
  5. Step 5: Solve for x
    x = 30,819,614,793.64/201,491.81
  6. Step 6: Final answer
    x = 152,957.16

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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.