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Finding the Fourth Proportional to 270,200.82, 405,239.59 and 101,738.91

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Solution

The fourth proportional to 270,200.82, 405,239.59 and 101,738.91 is: 152,585.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,200.82 : 405,239.59 = 101,738.91 : x
  2. Step 2: Convert to fraction form
    270,200.82/405,239.59 = 101,738.91/x
  3. Step 3: Cross multiply
    270,200.82x = 405,239.59 × 101,738.91
  4. Step 4: Simplify right side
    270,200.82x = 41,228,634,175.45
  5. Step 5: Solve for x
    x = 41,228,634,175.45/270,200.82
  6. Step 6: Final answer
    x = 152,585.16

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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.