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Finding the Fourth Proportional to 200,401.57, 276,539.77 and 109,742.90

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Solution

The fourth proportional to 200,401.57, 276,539.77 and 109,742.90 is: 151,437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,401.57 : 276,539.77 = 109,742.90 : x
  2. Step 2: Convert to fraction form
    200,401.57/276,539.77 = 109,742.90/x
  3. Step 3: Cross multiply
    200,401.57x = 276,539.77 × 109,742.90
  4. Step 4: Simplify right side
    200,401.57x = 30,348,276,635.15
  5. Step 5: Solve for x
    x = 30,348,276,635.15/200,401.57
  6. Step 6: Final answer
    x = 151,437.32

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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.