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Finding the Fourth Proportional to 205,095.84, 283,032.32 and 113,215.18

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Solution

The fourth proportional to 205,095.84, 283,032.32 and 113,215.18 is: 156,236.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,095.84 : 283,032.32 = 113,215.18 : x
  2. Step 2: Convert to fraction form
    205,095.84/283,032.32 = 113,215.18/x
  3. Step 3: Cross multiply
    205,095.84x = 283,032.32 × 113,215.18
  4. Step 4: Simplify right side
    205,095.84x = 32,043,555,054.62
  5. Step 5: Solve for x
    x = 32,043,555,054.62/205,095.84
  6. Step 6: Final answer
    x = 156,236.98

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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.