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Finding the Fourth Proportional to 292,359.26, 403,455.78 and 158,223.26

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Solution

The fourth proportional to 292,359.26, 403,455.78 and 158,223.26 is: 218,348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,359.26 : 403,455.78 = 158,223.26 : x
  2. Step 2: Convert to fraction form
    292,359.26/403,455.78 = 158,223.26/x
  3. Step 3: Cross multiply
    292,359.26x = 403,455.78 × 158,223.26
  4. Step 4: Simplify right side
    292,359.26x = 63,836,086,760.16
  5. Step 5: Solve for x
    x = 63,836,086,760.16/292,359.26
  6. Step 6: Final answer
    x = 218,348.10

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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.