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Finding the Fourth Proportional to 270,157.88, 405,175.16 and 101,695.91

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Solution

The fourth proportional to 270,157.88, 405,175.16 and 101,695.91 is: 152,520.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,157.88 : 405,175.16 = 101,695.91 : x
  2. Step 2: Convert to fraction form
    270,157.88/405,175.16 = 101,695.91/x
  3. Step 3: Cross multiply
    270,157.88x = 405,175.16 × 101,695.91
  4. Step 4: Simplify right side
    270,157.88x = 41,204,654,833.96
  5. Step 5: Solve for x
    x = 41,204,654,833.96/270,157.88
  6. Step 6: Final answer
    x = 152,520.65

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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.