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Finding the Fourth Proportional to 164,223.59, 246,593.16 and 97,959.24

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Solution

The fourth proportional to 164,223.59, 246,593.16 and 97,959.24 is: 147,092.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,223.59 : 246,593.16 = 97,959.24 : x
  2. Step 2: Convert to fraction form
    164,223.59/246,593.16 = 97,959.24/x
  3. Step 3: Cross multiply
    164,223.59x = 246,593.16 × 97,959.24
  4. Step 4: Simplify right side
    164,223.59x = 24,156,078,542.80
  5. Step 5: Solve for x
    x = 24,156,078,542.80/164,223.59
  6. Step 6: Final answer
    x = 147,092.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.