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Finding the Fourth Proportional to 265,042.80, 365,761.44 and 144,186.72

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Solution

The fourth proportional to 265,042.80, 365,761.44 and 144,186.72 is: 198,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,042.80 : 365,761.44 = 144,186.72 : x
  2. Step 2: Convert to fraction form
    265,042.80/365,761.44 = 144,186.72/x
  3. Step 3: Cross multiply
    265,042.80x = 365,761.44 × 144,186.72
  4. Step 4: Simplify right side
    265,042.80x = 52,737,942,336.08
  5. Step 5: Solve for x
    x = 52,737,942,336.08/265,042.80
  6. Step 6: Final answer
    x = 198,978.97

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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.