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Finding the Fourth Proportional to 159,199.76, 219,796.52 and 98,834.46

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Solution

The fourth proportional to 159,199.76, 219,796.52 and 98,834.46 is: 136,454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,199.76 : 219,796.52 = 98,834.46 : x
  2. Step 2: Convert to fraction form
    159,199.76/219,796.52 = 98,834.46/x
  3. Step 3: Cross multiply
    159,199.76x = 219,796.52 × 98,834.46
  4. Step 4: Simplify right side
    159,199.76x = 21,723,469,601.61
  5. Step 5: Solve for x
    x = 21,723,469,601.61/159,199.76
  6. Step 6: Final answer
    x = 136,454.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.