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Finding the Fourth Proportional to 113,956.38, 157,170.15 and 106,317

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Solution

The fourth proportional to 113,956.38, 157,170.15 and 106,317 is: 146,633.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,956.38 : 157,170.15 = 106,317 : x
  2. Step 2: Convert to fraction form
    113,956.38/157,170.15 = 106,317/x
  3. Step 3: Cross multiply
    113,956.38x = 157,170.15 × 106,317
  4. Step 4: Simplify right side
    113,956.38x = 16,709,858,837.55
  5. Step 5: Solve for x
    x = 16,709,858,837.55/113,956.38
  6. Step 6: Final answer
    x = 146,633.82

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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.