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Finding the Fourth Proportional to 150,493.68, 225,751.86 and 50,654.16

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Solution

The fourth proportional to 150,493.68, 225,751.86 and 50,654.16 is: 75,985.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,493.68 : 225,751.86 = 50,654.16 : x
  2. Step 2: Convert to fraction form
    150,493.68/225,751.86 = 50,654.16/x
  3. Step 3: Cross multiply
    150,493.68x = 225,751.86 × 50,654.16
  4. Step 4: Simplify right side
    150,493.68x = 11,435,270,836.74
  5. Step 5: Solve for x
    x = 11,435,270,836.74/150,493.68
  6. Step 6: Final answer
    x = 75,985.06

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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.