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Finding the Fourth Proportional to 159,754, 220,460.52 and 89,098

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Solution

The fourth proportional to 159,754, 220,460.52 and 89,098 is: 122,955.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,754 : 220,460.52 = 89,098 : x
  2. Step 2: Convert to fraction form
    159,754/220,460.52 = 89,098/x
  3. Step 3: Cross multiply
    159,754x = 220,460.52 × 89,098
  4. Step 4: Simplify right side
    159,754x = 19,642,591,410.96
  5. Step 5: Solve for x
    x = 19,642,591,410.96/159,754
  6. Step 6: Final answer
    x = 122,955.24

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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.