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Finding the Fourth Proportional to 157,321.05, 217,183.53 and 106,601.82

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Solution

The fourth proportional to 157,321.05, 217,183.53 and 106,601.82 is: 147,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,321.05 : 217,183.53 = 106,601.82 : x
  2. Step 2: Convert to fraction form
    157,321.05/217,183.53 = 106,601.82/x
  3. Step 3: Cross multiply
    157,321.05x = 217,183.53 × 106,601.82
  4. Step 4: Simplify right side
    157,321.05x = 23,152,159,572.02
  5. Step 5: Solve for x
    x = 23,152,159,572.02/157,321.05
  6. Step 6: Final answer
    x = 147,165.05

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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.