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Finding the Fourth Proportional to 150,434.49, 225,651.74 and 61,729.77

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Solution

The fourth proportional to 150,434.49, 225,651.74 and 61,729.77 is: 92,594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,434.49 : 225,651.74 = 61,729.77 : x
  2. Step 2: Convert to fraction form
    150,434.49/225,651.74 = 61,729.77/x
  3. Step 3: Cross multiply
    150,434.49x = 225,651.74 × 61,729.77
  4. Step 4: Simplify right side
    150,434.49x = 13,929,430,010.30
  5. Step 5: Solve for x
    x = 13,929,430,010.30/150,434.49
  6. Step 6: Final answer
    x = 92,594.66

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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.