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Finding the Fourth Proportional to 157,606.48, 217,496.48 and 85,986

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Solution

The fourth proportional to 157,606.48, 217,496.48 and 85,986 is: 118,660.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,606.48 : 217,496.48 = 85,986 : x
  2. Step 2: Convert to fraction form
    157,606.48/217,496.48 = 85,986/x
  3. Step 3: Cross multiply
    157,606.48x = 217,496.48 × 85,986
  4. Step 4: Simplify right side
    157,606.48x = 18,701,652,329.28
  5. Step 5: Solve for x
    x = 18,701,652,329.28/157,606.48
  6. Step 6: Final answer
    x = 118,660.43

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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.