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Finding the Fourth Proportional to 209,396.49, 314,198.52 and 83,034.03

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Solution

The fourth proportional to 209,396.49, 314,198.52 and 83,034.03 is: 124,592.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,396.49 : 314,198.52 = 83,034.03 : x
  2. Step 2: Convert to fraction form
    209,396.49/314,198.52 = 83,034.03/x
  3. Step 3: Cross multiply
    209,396.49x = 314,198.52 × 83,034.03
  4. Step 4: Simplify right side
    209,396.49x = 26,089,169,335.64
  5. Step 5: Solve for x
    x = 26,089,169,335.64/209,396.49
  6. Step 6: Final answer
    x = 124,592.20

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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.