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Finding the Fourth Proportional to 216,065.80, 323,945.10 and 82,894.60

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Solution

The fourth proportional to 216,065.80, 323,945.10 and 82,894.60 is: 124,282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,065.80 : 323,945.10 = 82,894.60 : x
  2. Step 2: Convert to fraction form
    216,065.80/323,945.10 = 82,894.60/x
  3. Step 3: Cross multiply
    216,065.80x = 323,945.10 × 82,894.60
  4. Step 4: Simplify right side
    216,065.80x = 26,853,299,486.46
  5. Step 5: Solve for x
    x = 26,853,299,486.46/216,065.80
  6. Step 6: Final answer
    x = 124,282.97

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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.