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Finding the Fourth Proportional to 157,253.50, 217,003.32 and 85,633.36

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Solution

The fourth proportional to 157,253.50, 217,003.32 and 85,633.36 is: 118,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,253.50 : 217,003.32 = 85,633.36 : x
  2. Step 2: Convert to fraction form
    157,253.50/217,003.32 = 85,633.36/x
  3. Step 3: Cross multiply
    157,253.50x = 217,003.32 × 85,633.36
  4. Step 4: Simplify right side
    157,253.50x = 18,582,723,422.76
  5. Step 5: Solve for x
    x = 18,582,723,422.76/157,253.50
  6. Step 6: Final answer
    x = 118,170.49

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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.