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Finding the Fourth Proportional to 201,894.30, 302,732.10 and 83,431.80

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Solution

The fourth proportional to 201,894.30, 302,732.10 and 83,431.80 is: 125,102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,894.30 : 302,732.10 = 83,431.80 : x
  2. Step 2: Convert to fraction form
    201,894.30/302,732.10 = 83,431.80/x
  3. Step 3: Cross multiply
    201,894.30x = 302,732.10 × 83,431.80
  4. Step 4: Simplify right side
    201,894.30x = 25,257,484,020.78
  5. Step 5: Solve for x
    x = 25,257,484,020.78/201,894.30
  6. Step 6: Final answer
    x = 125,102.51

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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.