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Finding the Fourth Proportional to 160,799.96, 241,029.78 and 54,082.32

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Solution

The fourth proportional to 160,799.96, 241,029.78 and 54,082.32 is: 81,066.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,799.96 : 241,029.78 = 54,082.32 : x
  2. Step 2: Convert to fraction form
    160,799.96/241,029.78 = 54,082.32/x
  3. Step 3: Cross multiply
    160,799.96x = 241,029.78 × 54,082.32
  4. Step 4: Simplify right side
    160,799.96x = 13,035,449,691.49
  5. Step 5: Solve for x
    x = 13,035,449,691.49/160,799.96
  6. Step 6: Final answer
    x = 81,066.25

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Why These Related Problems?

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