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Finding the Fourth Proportional to 209,615.42, 289,269.32 and 114,122.12

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Solution

The fourth proportional to 209,615.42, 289,269.32 and 114,122.12 is: 157,488.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,615.42 : 289,269.32 = 114,122.12 : x
  2. Step 2: Convert to fraction form
    209,615.42/289,269.32 = 114,122.12/x
  3. Step 3: Cross multiply
    209,615.42x = 289,269.32 × 114,122.12
  4. Step 4: Simplify right side
    209,615.42x = 33,012,028,049.36
  5. Step 5: Solve for x
    x = 33,012,028,049.36/209,615.42
  6. Step 6: Final answer
    x = 157,488.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.