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Finding the Fourth Proportional to 251,274.41, 376,957.78 and 82,804.67

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Solution

The fourth proportional to 251,274.41, 376,957.78 and 82,804.67 is: 124,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,274.41 : 376,957.78 = 82,804.67 : x
  2. Step 2: Convert to fraction form
    251,274.41/376,957.78 = 82,804.67/x
  3. Step 3: Cross multiply
    251,274.41x = 376,957.78 × 82,804.67
  4. Step 4: Simplify right side
    251,274.41x = 31,213,862,485.03
  5. Step 5: Solve for x
    x = 31,213,862,485.03/251,274.41
  6. Step 6: Final answer
    x = 124,222.21

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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.