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Finding the Fourth Proportional to 251,262.14, 376,812.14 and 82,742.40

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Solution

The fourth proportional to 251,262.14, 376,812.14 and 82,742.40 is: 124,086.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,262.14 : 376,812.14 = 82,742.40 : x
  2. Step 2: Convert to fraction form
    251,262.14/376,812.14 = 82,742.40/x
  3. Step 3: Cross multiply
    251,262.14x = 376,812.14 × 82,742.40
  4. Step 4: Simplify right side
    251,262.14x = 31,178,340,399.02
  5. Step 5: Solve for x
    x = 31,178,340,399.02/251,262.14
  6. Step 6: Final answer
    x = 124,086.90

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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.