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Finding the Fourth Proportional to 157,777.38, 217,734.57 and 86,158.26

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Solution

The fourth proportional to 157,777.38, 217,734.57 and 86,158.26 is: 118,899.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,777.38 : 217,734.57 = 86,158.26 : x
  2. Step 2: Convert to fraction form
    157,777.38/217,734.57 = 86,158.26/x
  3. Step 3: Cross multiply
    157,777.38x = 217,734.57 × 86,158.26
  4. Step 4: Simplify right side
    157,777.38x = 18,759,631,693.05
  5. Step 5: Solve for x
    x = 18,759,631,693.05/157,777.38
  6. Step 6: Final answer
    x = 118,899.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.