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Finding the Fourth Proportional to 150,396.98, 225,587.16 and 50,546.86

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Solution

The fourth proportional to 150,396.98, 225,587.16 and 50,546.86 is: 75,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,396.98 : 225,587.16 = 50,546.86 : x
  2. Step 2: Convert to fraction form
    150,396.98/225,587.16 = 50,546.86/x
  3. Step 3: Cross multiply
    150,396.98x = 225,587.16 × 50,546.86
  4. Step 4: Simplify right side
    150,396.98x = 11,402,722,030.35
  5. Step 5: Solve for x
    x = 11,402,722,030.35/150,396.98
  6. Step 6: Final answer
    x = 75,817.50

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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.