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Finding the Fourth Proportional to 150,026.34, 206,848.17 and 96,216.42

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Solution

The fourth proportional to 150,026.34, 206,848.17 and 96,216.42 is: 132,657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,026.34 : 206,848.17 = 96,216.42 : x
  2. Step 2: Convert to fraction form
    150,026.34/206,848.17 = 96,216.42/x
  3. Step 3: Cross multiply
    150,026.34x = 206,848.17 × 96,216.42
  4. Step 4: Simplify right side
    150,026.34x = 19,902,190,400.95
  5. Step 5: Solve for x
    x = 19,902,190,400.95/150,026.34
  6. Step 6: Final answer
    x = 132,657.97

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