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Finding the Fourth Proportional to 251,283.70, 376,981.12 and 82,797.22

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Solution

The fourth proportional to 251,283.70, 376,981.12 and 82,797.22 is: 124,214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,283.70 : 376,981.12 = 82,797.22 : x
  2. Step 2: Convert to fraction form
    251,283.70/376,981.12 = 82,797.22/x
  3. Step 3: Cross multiply
    251,283.70x = 376,981.12 × 82,797.22
  4. Step 4: Simplify right side
    251,283.70x = 31,212,988,728.49
  5. Step 5: Solve for x
    x = 31,212,988,728.49/251,283.70
  6. Step 6: Final answer
    x = 124,214.14

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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.