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Finding the Fourth Proportional to 161,915.72, 242,660.34 and 90,837

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Solution

The fourth proportional to 161,915.72, 242,660.34 and 90,837 is: 136,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,915.72 : 242,660.34 = 90,837 : x
  2. Step 2: Convert to fraction form
    161,915.72/242,660.34 = 90,837/x
  3. Step 3: Cross multiply
    161,915.72x = 242,660.34 × 90,837
  4. Step 4: Simplify right side
    161,915.72x = 22,042,537,304.58
  5. Step 5: Solve for x
    x = 22,042,537,304.58/161,915.72
  6. Step 6: Final answer
    x = 136,135.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.