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Finding the Fourth Proportional to 157,884.31, 217,883.49 and 86,268.76

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Solution

The fourth proportional to 157,884.31, 217,883.49 and 86,268.76 is: 119,052.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,884.31 : 217,883.49 = 86,268.76 : x
  2. Step 2: Convert to fraction form
    157,884.31/217,883.49 = 86,268.76/x
  3. Step 3: Cross multiply
    157,884.31x = 217,883.49 × 86,268.76
  4. Step 4: Simplify right side
    157,884.31x = 18,796,538,506.77
  5. Step 5: Solve for x
    x = 18,796,538,506.77/157,884.31
  6. Step 6: Final answer
    x = 119,052.61

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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.