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Finding the Fourth Proportional to 157,825.36, 217,797.56 and 86,205.37

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Solution

The fourth proportional to 157,825.36, 217,797.56 and 86,205.37 is: 118,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,825.36 : 217,797.56 = 86,205.37 : x
  2. Step 2: Convert to fraction form
    157,825.36/217,797.56 = 86,205.37/x
  3. Step 3: Cross multiply
    157,825.36x = 217,797.56 × 86,205.37
  4. Step 4: Simplify right side
    157,825.36x = 18,775,319,244.90
  5. Step 5: Solve for x
    x = 18,775,319,244.90/157,825.36
  6. Step 6: Final answer
    x = 118,962.63

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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.