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Finding the Fourth Proportional to 201,692.85, 278,333.82 and 111,046.96

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Solution

The fourth proportional to 201,692.85, 278,333.82 and 111,046.96 is: 153,243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,692.85 : 278,333.82 = 111,046.96 : x
  2. Step 2: Convert to fraction form
    201,692.85/278,333.82 = 111,046.96/x
  3. Step 3: Cross multiply
    201,692.85x = 278,333.82 × 111,046.96
  4. Step 4: Simplify right side
    201,692.85x = 30,908,124,576.19
  5. Step 5: Solve for x
    x = 30,908,124,576.19/201,692.85
  6. Step 6: Final answer
    x = 153,243.53

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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.