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Finding the Fourth Proportional to 265,536.82, 366,436.15 and 144,678.97

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Solution

The fourth proportional to 265,536.82, 366,436.15 and 144,678.97 is: 199,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,536.82 : 366,436.15 = 144,678.97 : x
  2. Step 2: Convert to fraction form
    265,536.82/366,436.15 = 144,678.97/x
  3. Step 3: Cross multiply
    265,536.82x = 366,436.15 × 144,678.97
  4. Step 4: Simplify right side
    265,536.82x = 53,015,604,752.77
  5. Step 5: Solve for x
    x = 53,015,604,752.77/265,536.82
  6. Step 6: Final answer
    x = 199,654.44

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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.