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Finding the Fourth Proportional to 150,757.59, 225,997.56 and 65,314.74

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Solution

The fourth proportional to 150,757.59, 225,997.56 and 65,314.74 is: 97,911.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,757.59 : 225,997.56 = 65,314.74 : x
  2. Step 2: Convert to fraction form
    150,757.59/225,997.56 = 65,314.74/x
  3. Step 3: Cross multiply
    150,757.59x = 225,997.56 × 65,314.74
  4. Step 4: Simplify right side
    150,757.59x = 14,760,971,448.29
  5. Step 5: Solve for x
    x = 14,760,971,448.29/150,757.59
  6. Step 6: Final answer
    x = 97,911.96

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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.