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Finding the Fourth Proportional to 205,347.99, 283,377.24 and 114,705.30

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Solution

The fourth proportional to 205,347.99, 283,377.24 and 114,705.30 is: 158,291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,347.99 : 283,377.24 = 114,705.30 : x
  2. Step 2: Convert to fraction form
    205,347.99/283,377.24 = 114,705.30/x
  3. Step 3: Cross multiply
    205,347.99x = 283,377.24 × 114,705.30
  4. Step 4: Simplify right side
    205,347.99x = 32,504,871,327.37
  5. Step 5: Solve for x
    x = 32,504,871,327.37/205,347.99
  6. Step 6: Final answer
    x = 158,291.65

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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.