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Finding the Fourth Proportional to 201,347.62, 301,833.57 and 68,135.20

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Solution

The fourth proportional to 201,347.62, 301,833.57 and 68,135.20 is: 102,139.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,347.62 : 301,833.57 = 68,135.20 : x
  2. Step 2: Convert to fraction form
    201,347.62/301,833.57 = 68,135.20/x
  3. Step 3: Cross multiply
    201,347.62x = 301,833.57 × 68,135.20
  4. Step 4: Simplify right side
    201,347.62x = 20,565,490,658.66
  5. Step 5: Solve for x
    x = 20,565,490,658.66/201,347.62
  6. Step 6: Final answer
    x = 102,139.23

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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.