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Finding the Fourth Proportional to 201,674.24, 278,305.36 and 111,029.30

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Solution

The fourth proportional to 201,674.24, 278,305.36 and 111,029.30 is: 153,217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,674.24 : 278,305.36 = 111,029.30 : x
  2. Step 2: Convert to fraction form
    201,674.24/278,305.36 = 111,029.30/x
  3. Step 3: Cross multiply
    201,674.24x = 278,305.36 × 111,029.30
  4. Step 4: Simplify right side
    201,674.24x = 30,900,047,637.95
  5. Step 5: Solve for x
    x = 30,900,047,637.95/201,674.24
  6. Step 6: Final answer
    x = 153,217.63

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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.