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Finding the Fourth Proportional to 205,375.96, 283,415.70 and 114,733.23

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Solution

The fourth proportional to 205,375.96, 283,415.70 and 114,733.23 is: 158,330.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,375.96 : 283,415.70 = 114,733.23 : x
  2. Step 2: Convert to fraction form
    205,375.96/283,415.70 = 114,733.23/x
  3. Step 3: Cross multiply
    205,375.96x = 283,415.70 × 114,733.23
  4. Step 4: Simplify right side
    205,375.96x = 32,517,198,693.71
  5. Step 5: Solve for x
    x = 32,517,198,693.71/205,375.96
  6. Step 6: Final answer
    x = 158,330.11

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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.