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Finding the Fourth Proportional to 294,770.96, 442,249.92 and 105,227.16

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Solution

The fourth proportional to 294,770.96, 442,249.92 and 105,227.16 is: 157,874.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,770.96 : 442,249.92 = 105,227.16 : x
  2. Step 2: Convert to fraction form
    294,770.96/442,249.92 = 105,227.16/x
  3. Step 3: Cross multiply
    294,770.96x = 442,249.92 × 105,227.16
  4. Step 4: Simplify right side
    294,770.96x = 46,536,703,091.83
  5. Step 5: Solve for x
    x = 46,536,703,091.83/294,770.96
  6. Step 6: Final answer
    x = 157,874.11

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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.