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Finding the Fourth Proportional to 178,250.49, 267,362.37 and 51,891.71

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Solution

The fourth proportional to 178,250.49, 267,362.37 and 51,891.71 is: 77,833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,250.49 : 267,362.37 = 51,891.71 : x
  2. Step 2: Convert to fraction form
    178,250.49/267,362.37 = 51,891.71/x
  3. Step 3: Cross multiply
    178,250.49x = 267,362.37 × 51,891.71
  4. Step 4: Simplify right side
    178,250.49x = 13,873,889,232.14
  5. Step 5: Solve for x
    x = 13,873,889,232.14/178,250.49
  6. Step 6: Final answer
    x = 77,833.67

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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.