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Finding the Fourth Proportional to 160,049.53, 239,945.64 and 109,981.27

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Solution

The fourth proportional to 160,049.53, 239,945.64 and 109,981.27 is: 164,883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,049.53 : 239,945.64 = 109,981.27 : x
  2. Step 2: Convert to fraction form
    160,049.53/239,945.64 = 109,981.27/x
  3. Step 3: Cross multiply
    160,049.53x = 239,945.64 × 109,981.27
  4. Step 4: Simplify right side
    160,049.53x = 26,389,526,218.16
  5. Step 5: Solve for x
    x = 26,389,526,218.16/160,049.53
  6. Step 6: Final answer
    x = 164,883.50

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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.