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Finding the Fourth Proportional to 216,005.80, 323,855.10 and 82,834.60

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Solution

The fourth proportional to 216,005.80, 323,855.10 and 82,834.60 is: 124,193.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,005.80 : 323,855.10 = 82,834.60 : x
  2. Step 2: Convert to fraction form
    216,005.80/323,855.10 = 82,834.60/x
  3. Step 3: Cross multiply
    216,005.80x = 323,855.10 × 82,834.60
  4. Step 4: Simplify right side
    216,005.80x = 26,826,407,666.46
  5. Step 5: Solve for x
    x = 26,826,407,666.46/216,005.80
  6. Step 6: Final answer
    x = 124,193.00

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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.