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Finding the Fourth Proportional to 157,682.70, 217,672.11 and 106,769.34

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Solution

The fourth proportional to 157,682.70, 217,672.11 and 106,769.34 is: 147,389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,682.70 : 217,672.11 = 106,769.34 : x
  2. Step 2: Convert to fraction form
    157,682.70/217,672.11 = 106,769.34/x
  3. Step 3: Cross multiply
    157,682.70x = 217,672.11 × 106,769.34
  4. Step 4: Simplify right side
    157,682.70x = 23,240,707,521.11
  5. Step 5: Solve for x
    x = 23,240,707,521.11/157,682.70
  6. Step 6: Final answer
    x = 147,389.08

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