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Finding the Fourth Proportional to 270,631.82, 406,261.92 and 158,392.60

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Solution

The fourth proportional to 270,631.82, 406,261.92 and 158,392.60 is: 237,772.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,631.82 : 406,261.92 = 158,392.60 : x
  2. Step 2: Convert to fraction form
    270,631.82/406,261.92 = 158,392.60/x
  3. Step 3: Cross multiply
    270,631.82x = 406,261.92 × 158,392.60
  4. Step 4: Simplify right side
    270,631.82x = 64,348,881,789.79
  5. Step 5: Solve for x
    x = 64,348,881,789.79/270,631.82
  6. Step 6: Final answer
    x = 237,772.79

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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.