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Finding the Fourth Proportional to 200,026.85, 276,036.93 and 109,382.81

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Solution

The fourth proportional to 200,026.85, 276,036.93 and 109,382.81 is: 150,948.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,026.85 : 276,036.93 = 109,382.81 : x
  2. Step 2: Convert to fraction form
    200,026.85/276,036.93 = 109,382.81/x
  3. Step 3: Cross multiply
    200,026.85x = 276,036.93 × 109,382.81
  4. Step 4: Simplify right side
    200,026.85x = 30,193,695,609.55
  5. Step 5: Solve for x
    x = 30,193,695,609.55/200,026.85
  6. Step 6: Final answer
    x = 150,948.22

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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.