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Finding the Fourth Proportional to 228,672.45, 315,467.46 and 137,977.83

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Solution

The fourth proportional to 228,672.45, 315,467.46 and 137,977.83 is: 190,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,672.45 : 315,467.46 = 137,977.83 : x
  2. Step 2: Convert to fraction form
    228,672.45/315,467.46 = 137,977.83/x
  3. Step 3: Cross multiply
    228,672.45x = 315,467.46 × 137,977.83
  4. Step 4: Simplify right side
    228,672.45x = 43,527,515,566.41
  5. Step 5: Solve for x
    x = 43,527,515,566.41/228,672.45
  6. Step 6: Final answer
    x = 190,348.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.