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Finding the Fourth Proportional to 157,355.32, 217,150.34 and 85,735.34

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Solution

The fourth proportional to 157,355.32, 217,150.34 and 85,735.34 is: 118,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,355.32 : 217,150.34 = 85,735.34 : x
  2. Step 2: Convert to fraction form
    157,355.32/217,150.34 = 85,735.34/x
  3. Step 3: Cross multiply
    157,355.32x = 217,150.34 × 85,735.34
  4. Step 4: Simplify right side
    157,355.32x = 18,617,458,231.02
  5. Step 5: Solve for x
    x = 18,617,458,231.02/157,355.32
  6. Step 6: Final answer
    x = 118,314.77

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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.