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Finding the Fourth Proportional to 188,434.40, 282,651.60 and 187,122.20

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Solution

The fourth proportional to 188,434.40, 282,651.60 and 187,122.20 is: 280,683.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,434.40 : 282,651.60 = 187,122.20 : x
  2. Step 2: Convert to fraction form
    188,434.40/282,651.60 = 187,122.20/x
  3. Step 3: Cross multiply
    188,434.40x = 282,651.60 × 187,122.20
  4. Step 4: Simplify right side
    188,434.40x = 52,890,389,225.52
  5. Step 5: Solve for x
    x = 52,890,389,225.52/188,434.40
  6. Step 6: Final answer
    x = 280,683.30

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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.