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Finding the Fourth Proportional to 209,967.20, 314,950.80 and 76,851.80

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Solution

The fourth proportional to 209,967.20, 314,950.80 and 76,851.80 is: 115,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,967.20 : 314,950.80 = 76,851.80 : x
  2. Step 2: Convert to fraction form
    209,967.20/314,950.80 = 76,851.80/x
  3. Step 3: Cross multiply
    209,967.20x = 314,950.80 × 76,851.80
  4. Step 4: Simplify right side
    209,967.20x = 24,204,535,891.44
  5. Step 5: Solve for x
    x = 24,204,535,891.44/209,967.20
  6. Step 6: Final answer
    x = 115,277.70

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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.