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Finding the Fourth Proportional to 292,229.52, 403,272.81 and 163,170

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Solution

The fourth proportional to 292,229.52, 403,272.81 and 163,170 is: 225,172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,229.52 : 403,272.81 = 163,170 : x
  2. Step 2: Convert to fraction form
    292,229.52/403,272.81 = 163,170/x
  3. Step 3: Cross multiply
    292,229.52x = 403,272.81 × 163,170
  4. Step 4: Simplify right side
    292,229.52x = 65,802,024,407.70
  5. Step 5: Solve for x
    x = 65,802,024,407.70/292,229.52
  6. Step 6: Final answer
    x = 225,172.41

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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.