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Finding the Fourth Proportional to 294,792.77, 442,080.37 and 105,202.43

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Solution

The fourth proportional to 294,792.77, 442,080.37 and 105,202.43 is: 157,764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,792.77 : 442,080.37 = 105,202.43 : x
  2. Step 2: Convert to fraction form
    294,792.77/442,080.37 = 105,202.43/x
  3. Step 3: Cross multiply
    294,792.77x = 442,080.37 × 105,202.43
  4. Step 4: Simplify right side
    294,792.77x = 46,507,929,179.30
  5. Step 5: Solve for x
    x = 46,507,929,179.30/294,792.77
  6. Step 6: Final answer
    x = 157,764.82

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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.