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Finding the Fourth Proportional to 150,684.57, 226,929.21 and 137,232.48

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Solution

The fourth proportional to 150,684.57, 226,929.21 and 137,232.48 is: 206,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,684.57 : 226,929.21 = 137,232.48 : x
  2. Step 2: Convert to fraction form
    150,684.57/226,929.21 = 137,232.48/x
  3. Step 3: Cross multiply
    150,684.57x = 226,929.21 × 137,232.48
  4. Step 4: Simplify right side
    150,684.57x = 31,142,058,272.74
  5. Step 5: Solve for x
    x = 31,142,058,272.74/150,684.57
  6. Step 6: Final answer
    x = 206,670.52

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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.