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Finding the Fourth Proportional to 205,693.85, 283,883.81 and 115,054.85

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Solution

The fourth proportional to 205,693.85, 283,883.81 and 115,054.85 is: 158,790.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,693.85 : 283,883.81 = 115,054.85 : x
  2. Step 2: Convert to fraction form
    205,693.85/283,883.81 = 115,054.85/x
  3. Step 3: Cross multiply
    205,693.85x = 283,883.81 × 115,054.85
  4. Step 4: Simplify right side
    205,693.85x = 32,662,209,311.41
  5. Step 5: Solve for x
    x = 32,662,209,311.41/205,693.85
  6. Step 6: Final answer
    x = 158,790.40

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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.