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Finding the Fourth Proportional to 178,224.64, 267,316.14 and 71,604.28

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Solution

The fourth proportional to 178,224.64, 267,316.14 and 71,604.28 is: 107,398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,224.64 : 267,316.14 = 71,604.28 : x
  2. Step 2: Convert to fraction form
    178,224.64/267,316.14 = 71,604.28/x
  3. Step 3: Cross multiply
    178,224.64x = 267,316.14 × 71,604.28
  4. Step 4: Simplify right side
    178,224.64x = 19,140,979,737.08
  5. Step 5: Solve for x
    x = 19,140,979,737.08/178,224.64
  6. Step 6: Final answer
    x = 107,398.06

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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.