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Finding the Fourth Proportional to 205,102.42, 283,040.77 and 114,457.42

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Solution

The fourth proportional to 205,102.42, 283,040.77 and 114,457.42 is: 157,950.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,102.42 : 283,040.77 = 114,457.42 : x
  2. Step 2: Convert to fraction form
    205,102.42/283,040.77 = 114,457.42/x
  3. Step 3: Cross multiply
    205,102.42x = 283,040.77 × 114,457.42
  4. Step 4: Simplify right side
    205,102.42x = 32,396,116,289.01
  5. Step 5: Solve for x
    x = 32,396,116,289.01/205,102.42
  6. Step 6: Final answer
    x = 157,950.92

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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.