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Finding the Fourth Proportional to 150,686.58, 226,932.22 and 137,234.48

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Solution

The fourth proportional to 150,686.58, 226,932.22 and 137,234.48 is: 206,673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,686.58 : 226,932.22 = 137,234.48 : x
  2. Step 2: Convert to fraction form
    150,686.58/226,932.22 = 137,234.48/x
  3. Step 3: Cross multiply
    150,686.58x = 226,932.22 × 137,234.48
  4. Step 4: Simplify right side
    150,686.58x = 31,142,925,206.95
  5. Step 5: Solve for x
    x = 31,142,925,206.95/150,686.58
  6. Step 6: Final answer
    x = 206,673.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.