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Finding the Fourth Proportional to 159,728.95, 239,622.12 and 54,523.32

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Solution

The fourth proportional to 159,728.95, 239,622.12 and 54,523.32 is: 81,794.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,728.95 : 239,622.12 = 54,523.32 : x
  2. Step 2: Convert to fraction form
    159,728.95/239,622.12 = 54,523.32/x
  3. Step 3: Cross multiply
    159,728.95x = 239,622.12 × 54,523.32
  4. Step 4: Simplify right side
    159,728.95x = 13,064,992,057.11
  5. Step 5: Solve for x
    x = 13,064,992,057.11/159,728.95
  6. Step 6: Final answer
    x = 81,794.77

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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.