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Finding the Fourth Proportional to 150,117, 225,175.72 and 37,797.24

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Solution

The fourth proportional to 150,117, 225,175.72 and 37,797.24 is: 56,695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,117 : 225,175.72 = 37,797.24 : x
  2. Step 2: Convert to fraction form
    150,117/225,175.72 = 37,797.24/x
  3. Step 3: Cross multiply
    150,117x = 225,175.72 × 37,797.24
  4. Step 4: Simplify right side
    150,117x = 8,511,020,731.01
  5. Step 5: Solve for x
    x = 8,511,020,731.01/150,117
  6. Step 6: Final answer
    x = 56,695.92

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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.