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Finding the Fourth Proportional to 158,156.84, 236,972.81 and 111,311.30

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Solution

The fourth proportional to 158,156.84, 236,972.81 and 111,311.30 is: 166,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,156.84 : 236,972.81 = 111,311.30 : x
  2. Step 2: Convert to fraction form
    158,156.84/236,972.81 = 111,311.30/x
  3. Step 3: Cross multiply
    158,156.84x = 236,972.81 × 111,311.30
  4. Step 4: Simplify right side
    158,156.84x = 26,377,751,545.75
  5. Step 5: Solve for x
    x = 26,377,751,545.75/158,156.84
  6. Step 6: Final answer
    x = 166,782.24

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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.