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Finding the Fourth Proportional to 157,396.14, 236,163.93 and 82,498.49

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Solution

The fourth proportional to 157,396.14, 236,163.93 and 82,498.49 is: 123,784.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,396.14 : 236,163.93 = 82,498.49 : x
  2. Step 2: Convert to fraction form
    157,396.14/236,163.93 = 82,498.49/x
  3. Step 3: Cross multiply
    157,396.14x = 236,163.93 × 82,498.49
  4. Step 4: Simplify right side
    157,396.14x = 19,483,166,436.65
  5. Step 5: Solve for x
    x = 19,483,166,436.65/157,396.14
  6. Step 6: Final answer
    x = 123,784.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.