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Finding the Fourth Proportional to 205,833.60, 308,750.04 and 106,022.32

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Solution

The fourth proportional to 205,833.60, 308,750.04 and 106,022.32 is: 159,033.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,833.60 : 308,750.04 = 106,022.32 : x
  2. Step 2: Convert to fraction form
    205,833.60/308,750.04 = 106,022.32/x
  3. Step 3: Cross multiply
    205,833.60x = 308,750.04 × 106,022.32
  4. Step 4: Simplify right side
    205,833.60x = 32,734,395,540.89
  5. Step 5: Solve for x
    x = 32,734,395,540.89/205,833.60
  6. Step 6: Final answer
    x = 159,033.29

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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.