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Finding the Fourth Proportional to 292,359.54, 403,456.17 and 158,223.54

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Solution

The fourth proportional to 292,359.54, 403,456.17 and 158,223.54 is: 218,348.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,359.54 : 403,456.17 = 158,223.54 : x
  2. Step 2: Convert to fraction form
    292,359.54/403,456.17 = 158,223.54/x
  3. Step 3: Cross multiply
    292,359.54x = 403,456.17 × 158,223.54
  4. Step 4: Simplify right side
    292,359.54x = 63,836,263,452.24
  5. Step 5: Solve for x
    x = 63,836,263,452.24/292,359.54
  6. Step 6: Final answer
    x = 218,348.49

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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.