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Finding the Fourth Proportional to 205,091.84, 283,026.80 and 113,211.18

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Solution

The fourth proportional to 205,091.84, 283,026.80 and 113,211.18 is: 156,231.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,091.84 : 283,026.80 = 113,211.18 : x
  2. Step 2: Convert to fraction form
    205,091.84/283,026.80 = 113,211.18/x
  3. Step 3: Cross multiply
    205,091.84x = 283,026.80 × 113,211.18
  4. Step 4: Simplify right side
    205,091.84x = 32,041,798,466.73
  5. Step 5: Solve for x
    x = 32,041,798,466.73/205,091.84
  6. Step 6: Final answer
    x = 156,231.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.