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Finding the Fourth Proportional to 205,239.66, 283,227.98 and 114,597.16

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Solution

The fourth proportional to 205,239.66, 283,227.98 and 114,597.16 is: 158,142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,239.66 : 283,227.98 = 114,597.16 : x
  2. Step 2: Convert to fraction form
    205,239.66/283,227.98 = 114,597.16/x
  3. Step 3: Cross multiply
    205,239.66x = 283,227.98 × 114,597.16
  4. Step 4: Simplify right side
    205,239.66x = 32,457,122,140.54
  5. Step 5: Solve for x
    x = 32,457,122,140.54/205,239.66
  6. Step 6: Final answer
    x = 158,142.54

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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.