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Finding the Fourth Proportional to 157,402.48, 236,173.45 and 82,504.82

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Solution

The fourth proportional to 157,402.48, 236,173.45 and 82,504.82 is: 123,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,402.48 : 236,173.45 = 82,504.82 : x
  2. Step 2: Convert to fraction form
    157,402.48/236,173.45 = 82,504.82/x
  3. Step 3: Cross multiply
    157,402.48x = 236,173.45 × 82,504.82
  4. Step 4: Simplify right side
    157,402.48x = 19,485,447,981.03
  5. Step 5: Solve for x
    x = 19,485,447,981.03/157,402.48
  6. Step 6: Final answer
    x = 123,793.78

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Why These Related Problems?

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