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Finding the Fourth Proportional to 205,343.76, 283,371.38 and 114,701.08

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Solution

The fourth proportional to 205,343.76, 283,371.38 and 114,701.08 is: 158,285.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,343.76 : 283,371.38 = 114,701.08 : x
  2. Step 2: Convert to fraction form
    205,343.76/283,371.38 = 114,701.08/x
  3. Step 3: Cross multiply
    205,343.76x = 283,371.38 × 114,701.08
  4. Step 4: Simplify right side
    205,343.76x = 32,503,003,327.09
  5. Step 5: Solve for x
    x = 32,503,003,327.09/205,343.76
  6. Step 6: Final answer
    x = 158,285.81

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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.