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Finding the Fourth Proportional to 205,325.82, 283,355.34 and 113,451.02

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Solution

The fourth proportional to 205,325.82, 283,355.34 and 113,451.02 is: 156,565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,325.82 : 283,355.34 = 113,451.02 : x
  2. Step 2: Convert to fraction form
    205,325.82/283,355.34 = 113,451.02/x
  3. Step 3: Cross multiply
    205,325.82x = 283,355.34 × 113,451.02
  4. Step 4: Simplify right side
    205,325.82x = 32,146,953,053.84
  5. Step 5: Solve for x
    x = 32,146,953,053.84/205,325.82
  6. Step 6: Final answer
    x = 156,565.57

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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.