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Finding the Fourth Proportional to 200,065.64, 276,080.35 and 109,403.99

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Solution

The fourth proportional to 200,065.64, 276,080.35 and 109,403.99 is: 150,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,065.64 : 276,080.35 = 109,403.99 : x
  2. Step 2: Convert to fraction form
    200,065.64/276,080.35 = 109,403.99/x
  3. Step 3: Cross multiply
    200,065.64x = 276,080.35 × 109,403.99
  4. Step 4: Simplify right side
    200,065.64x = 30,204,289,923.17
  5. Step 5: Solve for x
    x = 30,204,289,923.17/200,065.64
  6. Step 6: Final answer
    x = 150,971.90

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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.