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Finding the Fourth Proportional to 160,754.68, 221,844.12 and 89,137.72

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Solution

The fourth proportional to 160,754.68, 221,844.12 and 89,137.72 is: 123,011.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,754.68 : 221,844.12 = 89,137.72 : x
  2. Step 2: Convert to fraction form
    160,754.68/221,844.12 = 89,137.72/x
  3. Step 3: Cross multiply
    160,754.68x = 221,844.12 × 89,137.72
  4. Step 4: Simplify right side
    160,754.68x = 19,774,679,052.21
  5. Step 5: Solve for x
    x = 19,774,679,052.21/160,754.68
  6. Step 6: Final answer
    x = 123,011.53

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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.