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Finding the Fourth Proportional to 188,204.67, 282,321.59 and 83,005.11

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Solution

The fourth proportional to 188,204.67, 282,321.59 and 83,005.11 is: 124,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,204.67 : 282,321.59 = 83,005.11 : x
  2. Step 2: Convert to fraction form
    188,204.67/282,321.59 = 83,005.11/x
  3. Step 3: Cross multiply
    188,204.67x = 282,321.59 × 83,005.11
  4. Step 4: Simplify right side
    188,204.67x = 23,434,134,218.30
  5. Step 5: Solve for x
    x = 23,434,134,218.30/188,204.67
  6. Step 6: Final answer
    x = 124,514.10

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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.