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Finding the Fourth Proportional to 201,902.20, 302,567.56 and 111,984.52

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Solution

The fourth proportional to 201,902.20, 302,567.56 and 111,984.52 is: 167,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,902.20 : 302,567.56 = 111,984.52 : x
  2. Step 2: Convert to fraction form
    201,902.20/302,567.56 = 111,984.52/x
  3. Step 3: Cross multiply
    201,902.20x = 302,567.56 × 111,984.52
  4. Step 4: Simplify right side
    201,902.20x = 33,882,882,974.17
  5. Step 5: Solve for x
    x = 33,882,882,974.17/201,902.20
  6. Step 6: Final answer
    x = 167,818.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.