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Finding the Fourth Proportional to 201,801.52, 278,488.02 and 111,157.87

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Solution

The fourth proportional to 201,801.52, 278,488.02 and 111,157.87 is: 153,398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,801.52 : 278,488.02 = 111,157.87 : x
  2. Step 2: Convert to fraction form
    201,801.52/278,488.02 = 111,157.87/x
  3. Step 3: Cross multiply
    201,801.52x = 278,488.02 × 111,157.87
  4. Step 4: Simplify right side
    201,801.52x = 30,956,135,123.72
  5. Step 5: Solve for x
    x = 30,956,135,123.72/201,801.52
  6. Step 6: Final answer
    x = 153,398.92

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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.