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Finding the Fourth Proportional to 228,410.88, 342,614.41 and 178,532.94

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Solution

The fourth proportional to 228,410.88, 342,614.41 and 178,532.94 is: 267,797.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,410.88 : 342,614.41 = 178,532.94 : x
  2. Step 2: Convert to fraction form
    228,410.88/342,614.41 = 178,532.94/x
  3. Step 3: Cross multiply
    228,410.88x = 342,614.41 × 178,532.94
  4. Step 4: Simplify right side
    228,410.88x = 61,167,957,903.67
  5. Step 5: Solve for x
    x = 61,167,957,903.67/228,410.88
  6. Step 6: Final answer
    x = 267,797.92

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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.