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Finding the Fourth Proportional to 292,530.25, 403,691.75 and 158,394.25

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Solution

The fourth proportional to 292,530.25, 403,691.75 and 158,394.25 is: 218,584.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,530.25 : 403,691.75 = 158,394.25 : x
  2. Step 2: Convert to fraction form
    292,530.25/403,691.75 = 158,394.25/x
  3. Step 3: Cross multiply
    292,530.25x = 403,691.75 × 158,394.25
  4. Step 4: Simplify right side
    292,530.25x = 63,942,451,972.44
  5. Step 5: Solve for x
    x = 63,942,451,972.44/292,530.25
  6. Step 6: Final answer
    x = 218,584.07

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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.