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Finding the Fourth Proportional to 200,418.66, 276,500.80 and 114,382.42

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Solution

The fourth proportional to 200,418.66, 276,500.80 and 114,382.42 is: 157,803.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,418.66 : 276,500.80 = 114,382.42 : x
  2. Step 2: Convert to fraction form
    200,418.66/276,500.80 = 114,382.42/x
  3. Step 3: Cross multiply
    200,418.66x = 276,500.80 × 114,382.42
  4. Step 4: Simplify right side
    200,418.66x = 31,626,831,642.98
  5. Step 5: Solve for x
    x = 31,626,831,642.98/200,418.66
  6. Step 6: Final answer
    x = 157,803.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.