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Finding the Fourth Proportional to 201,291.52, 302,023.50 and 68,185.84

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Solution

The fourth proportional to 201,291.52, 302,023.50 and 68,185.84 is: 102,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,291.52 : 302,023.50 = 68,185.84 : x
  2. Step 2: Convert to fraction form
    201,291.52/302,023.50 = 68,185.84/x
  3. Step 3: Cross multiply
    201,291.52x = 302,023.50 × 68,185.84
  4. Step 4: Simplify right side
    201,291.52x = 20,593,726,047.24
  5. Step 5: Solve for x
    x = 20,593,726,047.24/201,291.52
  6. Step 6: Final answer
    x = 102,307.97

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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.