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Finding the Fourth Proportional to 228,198.51, 342,404.46 and 101,825.46

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Solution

The fourth proportional to 228,198.51, 342,404.46 and 101,825.46 is: 152,785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,198.51 : 342,404.46 = 101,825.46 : x
  2. Step 2: Convert to fraction form
    228,198.51/342,404.46 = 101,825.46/x
  3. Step 3: Cross multiply
    228,198.51x = 342,404.46 × 101,825.46
  4. Step 4: Simplify right side
    228,198.51x = 34,865,491,645.55
  5. Step 5: Solve for x
    x = 34,865,491,645.55/228,198.51
  6. Step 6: Final answer
    x = 152,785.80

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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.