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Finding the Fourth Proportional to 188,328.71, 282,420.77 and 80,189.53

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Solution

The fourth proportional to 188,328.71, 282,420.77 and 80,189.53 is: 120,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,328.71 : 282,420.77 = 80,189.53 : x
  2. Step 2: Convert to fraction form
    188,328.71/282,420.77 = 80,189.53/x
  3. Step 3: Cross multiply
    188,328.71x = 282,420.77 × 80,189.53
  4. Step 4: Simplify right side
    188,328.71x = 22,647,187,701.54
  5. Step 5: Solve for x
    x = 22,647,187,701.54/188,328.71
  6. Step 6: Final answer
    x = 120,253.50

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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.