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Finding the Fourth Proportional to 188,092.80, 282,139.20 and 54,967.68

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Solution

The fourth proportional to 188,092.80, 282,139.20 and 54,967.68 is: 82,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,092.80 : 282,139.20 = 54,967.68 : x
  2. Step 2: Convert to fraction form
    188,092.80/282,139.20 = 54,967.68/x
  3. Step 3: Cross multiply
    188,092.80x = 282,139.20 × 54,967.68
  4. Step 4: Simplify right side
    188,092.80x = 15,508,537,261.06
  5. Step 5: Solve for x
    x = 15,508,537,261.06/188,092.80
  6. Step 6: Final answer
    x = 82,451.52

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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.