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Finding the Fourth Proportional to 177,194.94, 265,792.41 and 71,989.26

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Solution

The fourth proportional to 177,194.94, 265,792.41 and 71,989.26 is: 107,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,194.94 : 265,792.41 = 71,989.26 : x
  2. Step 2: Convert to fraction form
    177,194.94/265,792.41 = 71,989.26/x
  3. Step 3: Cross multiply
    177,194.94x = 265,792.41 × 71,989.26
  4. Step 4: Simplify right side
    177,194.94x = 19,134,198,909.52
  5. Step 5: Solve for x
    x = 19,134,198,909.52/177,194.94
  6. Step 6: Final answer
    x = 107,983.89

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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.