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Finding the Fourth Proportional to 292,359.20, 403,455.72 and 158,223.20

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Solution

The fourth proportional to 292,359.20, 403,455.72 and 158,223.20 is: 218,348.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,359.20 : 403,455.72 = 158,223.20 : x
  2. Step 2: Convert to fraction form
    292,359.20/403,455.72 = 158,223.20/x
  3. Step 3: Cross multiply
    292,359.20x = 403,455.72 × 158,223.20
  4. Step 4: Simplify right side
    292,359.20x = 63,836,053,059.43
  5. Step 5: Solve for x
    x = 63,836,053,059.43/292,359.20
  6. Step 6: Final answer
    x = 218,348.03

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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.