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Finding the Fourth Proportional to 200,071.24, 276,087 and 109,409.20

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Solution

The fourth proportional to 200,071.24, 276,087 and 109,409.20 is: 150,978.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,071.24 : 276,087 = 109,409.20 : x
  2. Step 2: Convert to fraction form
    200,071.24/276,087 = 109,409.20/x
  3. Step 3: Cross multiply
    200,071.24x = 276,087 × 109,409.20
  4. Step 4: Simplify right side
    200,071.24x = 30,206,457,800.40
  5. Step 5: Solve for x
    x = 30,206,457,800.40/200,071.24
  6. Step 6: Final answer
    x = 150,978.51

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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.