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Finding the Fourth Proportional to 251,278.16, 376,963.41 and 82,808.42

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Solution

The fourth proportional to 251,278.16, 376,963.41 and 82,808.42 is: 124,227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,278.16 : 376,963.41 = 82,808.42 : x
  2. Step 2: Convert to fraction form
    251,278.16/376,963.41 = 82,808.42/x
  3. Step 3: Cross multiply
    251,278.16x = 376,963.41 × 82,808.42
  4. Step 4: Simplify right side
    251,278.16x = 31,215,742,495.10
  5. Step 5: Solve for x
    x = 31,215,742,495.10/251,278.16
  6. Step 6: Final answer
    x = 124,227.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.