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Finding the Fourth Proportional to 264,948.80, 365,633.64 and 144,092.48

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Solution

The fourth proportional to 264,948.80, 365,633.64 and 144,092.48 is: 198,849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,948.80 : 365,633.64 = 144,092.48 : x
  2. Step 2: Convert to fraction form
    264,948.80/365,633.64 = 144,092.48/x
  3. Step 3: Cross multiply
    264,948.80x = 365,633.64 × 144,092.48
  4. Step 4: Simplify right side
    264,948.80x = 52,685,057,959.03
  5. Step 5: Solve for x
    x = 52,685,057,959.03/264,948.80
  6. Step 6: Final answer
    x = 198,849.96

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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.