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Finding the Fourth Proportional to 188,978.80, 283,079.40 and 95,537.20

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Solution

The fourth proportional to 188,978.80, 283,079.40 and 95,537.20 is: 143,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,978.80 : 283,079.40 = 95,537.20 : x
  2. Step 2: Convert to fraction form
    188,978.80/283,079.40 = 95,537.20/x
  3. Step 3: Cross multiply
    188,978.80x = 283,079.40 × 95,537.20
  4. Step 4: Simplify right side
    188,978.80x = 27,044,613,253.68
  5. Step 5: Solve for x
    x = 27,044,613,253.68/188,978.80
  6. Step 6: Final answer
    x = 143,109.24

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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.