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Finding the Fourth Proportional to 209,618.28, 289,275.30 and 120,177

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Solution

The fourth proportional to 209,618.28, 289,275.30 and 120,177 is: 165,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,618.28 : 289,275.30 = 120,177 : x
  2. Step 2: Convert to fraction form
    209,618.28/289,275.30 = 120,177/x
  3. Step 3: Cross multiply
    209,618.28x = 289,275.30 × 120,177
  4. Step 4: Simplify right side
    209,618.28x = 34,764,237,728.10
  5. Step 5: Solve for x
    x = 34,764,237,728.10/209,618.28
  6. Step 6: Final answer
    x = 165,845.45

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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.