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Finding the Fourth Proportional to 201,805.42, 302,500.44 and 89,538.52

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Solution

The fourth proportional to 201,805.42, 302,500.44 and 89,538.52 is: 134,215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,805.42 : 302,500.44 = 89,538.52 : x
  2. Step 2: Convert to fraction form
    201,805.42/302,500.44 = 89,538.52/x
  3. Step 3: Cross multiply
    201,805.42x = 302,500.44 × 89,538.52
  4. Step 4: Simplify right side
    201,805.42x = 27,085,441,696.95
  5. Step 5: Solve for x
    x = 27,085,441,696.95/201,805.42
  6. Step 6: Final answer
    x = 134,215.63

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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.