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Finding the Fourth Proportional to 188,204.01, 282,379.46 and 82,948.83

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Solution

The fourth proportional to 188,204.01, 282,379.46 and 82,948.83 is: 124,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,204.01 : 282,379.46 = 82,948.83 : x
  2. Step 2: Convert to fraction form
    188,204.01/282,379.46 = 82,948.83/x
  3. Step 3: Cross multiply
    188,204.01x = 282,379.46 × 82,948.83
  4. Step 4: Simplify right side
    188,204.01x = 23,423,045,408.29
  5. Step 5: Solve for x
    x = 23,423,045,408.29/188,204.01
  6. Step 6: Final answer
    x = 124,455.61

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1.5x scale

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.