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Finding the Fourth Proportional to 214,275.77, 295,624.31 and 123,654.66

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Solution

The fourth proportional to 214,275.77, 295,624.31 and 123,654.66 is: 170,599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,275.77 : 295,624.31 = 123,654.66 : x
  2. Step 2: Convert to fraction form
    214,275.77/295,624.31 = 123,654.66/x
  3. Step 3: Cross multiply
    214,275.77x = 295,624.31 × 123,654.66
  4. Step 4: Simplify right side
    214,275.77x = 36,555,323,540.78
  5. Step 5: Solve for x
    x = 36,555,323,540.78/214,275.77
  6. Step 6: Final answer
    x = 170,599.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.