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Finding the Fourth Proportional to 294,777.93, 442,199.85 and 105,282.21

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Solution

The fourth proportional to 294,777.93, 442,199.85 and 105,282.21 is: 157,935.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,777.93 : 442,199.85 = 105,282.21 : x
  2. Step 2: Convert to fraction form
    294,777.93/442,199.85 = 105,282.21/x
  3. Step 3: Cross multiply
    294,777.93x = 442,199.85 × 105,282.21
  4. Step 4: Simplify right side
    294,777.93x = 46,555,777,469.67
  5. Step 5: Solve for x
    x = 46,555,777,469.67/294,777.93
  6. Step 6: Final answer
    x = 157,935.09

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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.