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Finding the Fourth Proportional to 157,892.56, 217,893.27 and 86,272.58

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Solution

The fourth proportional to 157,892.56, 217,893.27 and 86,272.58 is: 119,057.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,892.56 : 217,893.27 = 86,272.58 : x
  2. Step 2: Convert to fraction form
    157,892.56/217,893.27 = 86,272.58/x
  3. Step 3: Cross multiply
    157,892.56x = 217,893.27 × 86,272.58
  4. Step 4: Simplify right side
    157,892.56x = 18,798,214,567.54
  5. Step 5: Solve for x
    x = 18,798,214,567.54/157,892.56
  6. Step 6: Final answer
    x = 119,057.00

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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.