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Finding the Fourth Proportional to 160,754.34, 221,832.78 and 89,133.66

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Solution

The fourth proportional to 160,754.34, 221,832.78 and 89,133.66 is: 122,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,754.34 : 221,832.78 = 89,133.66 : x
  2. Step 2: Convert to fraction form
    160,754.34/221,832.78 = 89,133.66/x
  3. Step 3: Cross multiply
    160,754.34x = 221,832.78 × 89,133.66
  4. Step 4: Simplify right side
    160,754.34x = 19,772,767,589.37
  5. Step 5: Solve for x
    x = 19,772,767,589.37/160,754.34
  6. Step 6: Final answer
    x = 122,999.90

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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.