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Finding the Fourth Proportional to 201,633.30, 302,493.42 and 61,388.28

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Solution

The fourth proportional to 201,633.30, 302,493.42 and 61,388.28 is: 92,095.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,633.30 : 302,493.42 = 61,388.28 : x
  2. Step 2: Convert to fraction form
    201,633.30/302,493.42 = 61,388.28/x
  3. Step 3: Cross multiply
    201,633.30x = 302,493.42 × 61,388.28
  4. Step 4: Simplify right side
    201,633.30x = 18,569,550,765.12
  5. Step 5: Solve for x
    x = 18,569,550,765.12/201,633.30
  6. Step 6: Final answer
    x = 92,095.65

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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.