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Finding the Fourth Proportional to 157,690.20, 217,682.46 and 106,776.84

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Solution

The fourth proportional to 157,690.20, 217,682.46 and 106,776.84 is: 147,399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,690.20 : 217,682.46 = 106,776.84 : x
  2. Step 2: Convert to fraction form
    157,690.20/217,682.46 = 106,776.84/x
  3. Step 3: Cross multiply
    157,690.20x = 217,682.46 × 106,776.84
  4. Step 4: Simplify right side
    157,690.20x = 23,243,445,202.23
  5. Step 5: Solve for x
    x = 23,243,445,202.23/157,690.20
  6. Step 6: Final answer
    x = 147,399.43

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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.