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Finding the Fourth Proportional to 201,704.18, 278,349.42 and 111,058.22

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Solution

The fourth proportional to 201,704.18, 278,349.42 and 111,058.22 is: 153,259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,704.18 : 278,349.42 = 111,058.22 : x
  2. Step 2: Convert to fraction form
    201,704.18/278,349.42 = 111,058.22/x
  3. Step 3: Cross multiply
    201,704.18x = 278,349.42 × 111,058.22
  4. Step 4: Simplify right side
    201,704.18x = 30,912,991,123.23
  5. Step 5: Solve for x
    x = 30,912,991,123.23/201,704.18
  6. Step 6: Final answer
    x = 153,259.05

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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.