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Finding the Fourth Proportional to 117,231.84, 175,945.80 and 50,722.56

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Solution

The fourth proportional to 117,231.84, 175,945.80 and 50,722.56 is: 76,126.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,231.84 : 175,945.80 = 50,722.56 : x
  2. Step 2: Convert to fraction form
    117,231.84/175,945.80 = 50,722.56/x
  3. Step 3: Cross multiply
    117,231.84x = 175,945.80 × 50,722.56
  4. Step 4: Simplify right side
    117,231.84x = 8,924,421,397.25
  5. Step 5: Solve for x
    x = 8,924,421,397.25/117,231.84
  6. Step 6: Final answer
    x = 76,126.26

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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.