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Finding the Fourth Proportional to 157,690.70, 217,683.15 and 106,777.34

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Solution

The fourth proportional to 157,690.70, 217,683.15 and 106,777.34 is: 147,400.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,690.70 : 217,683.15 = 106,777.34 : x
  2. Step 2: Convert to fraction form
    157,690.70/217,683.15 = 106,777.34/x
  3. Step 3: Cross multiply
    157,690.70x = 217,683.15 × 106,777.34
  4. Step 4: Simplify right side
    157,690.70x = 23,243,627,719.82
  5. Step 5: Solve for x
    x = 23,243,627,719.82/157,690.70
  6. Step 6: Final answer
    x = 147,400.12

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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.