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Finding the Fourth Proportional to 205,062.44, 282,986.95 and 114,422.23

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Solution

The fourth proportional to 205,062.44, 282,986.95 and 114,422.23 is: 157,903.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,062.44 : 282,986.95 = 114,422.23 : x
  2. Step 2: Convert to fraction form
    205,062.44/282,986.95 = 114,422.23/x
  3. Step 3: Cross multiply
    205,062.44x = 282,986.95 × 114,422.23
  4. Step 4: Simplify right side
    205,062.44x = 32,379,997,458.49
  5. Step 5: Solve for x
    x = 32,379,997,458.49/205,062.44
  6. Step 6: Final answer
    x = 157,903.11

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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.