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Finding the Fourth Proportional to 201,894.80, 302,732.85 and 83,432.30

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Solution

The fourth proportional to 201,894.80, 302,732.85 and 83,432.30 is: 125,103.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,894.80 : 302,732.85 = 83,432.30 : x
  2. Step 2: Convert to fraction form
    201,894.80/302,732.85 = 83,432.30/x
  3. Step 3: Cross multiply
    201,894.80x = 302,732.85 × 83,432.30
  4. Step 4: Simplify right side
    201,894.80x = 25,257,697,961.06
  5. Step 5: Solve for x
    x = 25,257,697,961.06/201,894.80
  6. Step 6: Final answer
    x = 125,103.26

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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.