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Finding the Fourth Proportional to 178,350.57, 267,523.16 and 43,415.64

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Solution

The fourth proportional to 178,350.57, 267,523.16 and 43,415.64 is: 65,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,350.57 : 267,523.16 = 43,415.64 : x
  2. Step 2: Convert to fraction form
    178,350.57/267,523.16 = 43,415.64/x
  3. Step 3: Cross multiply
    178,350.57x = 267,523.16 × 43,415.64
  4. Step 4: Simplify right side
    178,350.57x = 11,614,688,989.14
  5. Step 5: Solve for x
    x = 11,614,688,989.14/178,350.57
  6. Step 6: Final answer
    x = 65,122.80

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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.