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Finding the Fourth Proportional to 188,412.40, 282,618.60 and 187,100.20

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Solution

The fourth proportional to 188,412.40, 282,618.60 and 187,100.20 is: 280,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,412.40 : 282,618.60 = 187,100.20 : x
  2. Step 2: Convert to fraction form
    188,412.40/282,618.60 = 187,100.20/x
  3. Step 3: Cross multiply
    188,412.40x = 282,618.60 × 187,100.20
  4. Step 4: Simplify right side
    188,412.40x = 52,877,996,583.72
  5. Step 5: Solve for x
    x = 52,877,996,583.72/188,412.40
  6. Step 6: Final answer
    x = 280,650.30

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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.