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Finding the Fourth Proportional to 150,543.98, 225,816.35 and 50,774.25

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Solution

The fourth proportional to 150,543.98, 225,816.35 and 50,774.25 is: 76,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,543.98 : 225,816.35 = 50,774.25 : x
  2. Step 2: Convert to fraction form
    150,543.98/225,816.35 = 50,774.25/x
  3. Step 3: Cross multiply
    150,543.98x = 225,816.35 × 50,774.25
  4. Step 4: Simplify right side
    150,543.98x = 11,465,655,555.12
  5. Step 5: Solve for x
    x = 11,465,655,555.12/150,543.98
  6. Step 6: Final answer
    x = 76,161.50

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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.