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Finding the Fourth Proportional to 214,891.61, 322,261.14 and 63,046.31

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Solution

The fourth proportional to 214,891.61, 322,261.14 and 63,046.31 is: 94,547.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,891.61 : 322,261.14 = 63,046.31 : x
  2. Step 2: Convert to fraction form
    214,891.61/322,261.14 = 63,046.31/x
  3. Step 3: Cross multiply
    214,891.61x = 322,261.14 × 63,046.31
  4. Step 4: Simplify right side
    214,891.61x = 20,317,375,733.39
  5. Step 5: Solve for x
    x = 20,317,375,733.39/214,891.61
  6. Step 6: Final answer
    x = 94,547.09

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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.