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Finding the Fourth Proportional to 200,442.40, 276,614.98 and 114,399.66

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Solution

The fourth proportional to 200,442.40, 276,614.98 and 114,399.66 is: 157,874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,442.40 : 276,614.98 = 114,399.66 : x
  2. Step 2: Convert to fraction form
    200,442.40/276,614.98 = 114,399.66/x
  3. Step 3: Cross multiply
    200,442.40x = 276,614.98 × 114,399.66
  4. Step 4: Simplify right side
    200,442.40x = 31,644,659,662.91
  5. Step 5: Solve for x
    x = 31,644,659,662.91/200,442.40
  6. Step 6: Final answer
    x = 157,874.08

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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.