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Finding the Fourth Proportional to 264,893.16, 365,553.21 and 144,034.38

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Solution

The fourth proportional to 264,893.16, 365,553.21 and 144,034.38 is: 198,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,893.16 : 365,553.21 = 144,034.38 : x
  2. Step 2: Convert to fraction form
    264,893.16/365,553.21 = 144,034.38/x
  3. Step 3: Cross multiply
    264,893.16x = 365,553.21 × 144,034.38
  4. Step 4: Simplify right side
    264,893.16x = 52,652,229,959.36
  5. Step 5: Solve for x
    x = 52,652,229,959.36/264,893.16
  6. Step 6: Final answer
    x = 198,767.80

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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.