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Finding the Fourth Proportional to 201,551.38, 278,141.91 and 110,905.09

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Solution

The fourth proportional to 201,551.38, 278,141.91 and 110,905.09 is: 153,049.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,551.38 : 278,141.91 = 110,905.09 : x
  2. Step 2: Convert to fraction form
    201,551.38/278,141.91 = 110,905.09/x
  3. Step 3: Cross multiply
    201,551.38x = 278,141.91 × 110,905.09
  4. Step 4: Simplify right side
    201,551.38x = 30,847,353,561.32
  5. Step 5: Solve for x
    x = 30,847,353,561.32/201,551.38
  6. Step 6: Final answer
    x = 153,049.58

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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.