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Finding the Fourth Proportional to 209,900.80, 314,851.20 and 85,331.20

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Solution

The fourth proportional to 209,900.80, 314,851.20 and 85,331.20 is: 127,996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,900.80 : 314,851.20 = 85,331.20 : x
  2. Step 2: Convert to fraction form
    209,900.80/314,851.20 = 85,331.20/x
  3. Step 3: Cross multiply
    209,900.80x = 314,851.20 × 85,331.20
  4. Step 4: Simplify right side
    209,900.80x = 26,866,630,717.44
  5. Step 5: Solve for x
    x = 26,866,630,717.44/209,900.80
  6. Step 6: Final answer
    x = 127,996.80

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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.