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Finding the Fourth Proportional to 178,258.11, 267,431.01 and 51,899.46

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Solution

The fourth proportional to 178,258.11, 267,431.01 and 51,899.46 is: 77,861.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,258.11 : 267,431.01 = 51,899.46 : x
  2. Step 2: Convert to fraction form
    178,258.11/267,431.01 = 51,899.46/x
  3. Step 3: Cross multiply
    178,258.11x = 267,431.01 × 51,899.46
  4. Step 4: Simplify right side
    178,258.11x = 13,879,525,006.25
  5. Step 5: Solve for x
    x = 13,879,525,006.25/178,258.11
  6. Step 6: Final answer
    x = 77,861.96

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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.