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Finding the Fourth Proportional to 188,053.20, 282,092.60 and 54,933.20

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Solution

The fourth proportional to 188,053.20, 282,092.60 and 54,933.20 is: 82,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,053.20 : 282,092.60 = 54,933.20 : x
  2. Step 2: Convert to fraction form
    188,053.20/282,092.60 = 54,933.20/x
  3. Step 3: Cross multiply
    188,053.20x = 282,092.60 × 54,933.20
  4. Step 4: Simplify right side
    188,053.20x = 15,496,249,214.32
  5. Step 5: Solve for x
    x = 15,496,249,214.32/188,053.20
  6. Step 6: Final answer
    x = 82,403.54

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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.