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Finding the Fourth Proportional to 140,563.13, 193,973.40 and 83,205.41

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Solution

The fourth proportional to 140,563.13, 193,973.40 and 83,205.41 is: 114,821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,563.13 : 193,973.40 = 83,205.41 : x
  2. Step 2: Convert to fraction form
    140,563.13/193,973.40 = 83,205.41/x
  3. Step 3: Cross multiply
    140,563.13x = 193,973.40 × 83,205.41
  4. Step 4: Simplify right side
    140,563.13x = 16,139,635,306.23
  5. Step 5: Solve for x
    x = 16,139,635,306.23/140,563.13
  6. Step 6: Final answer
    x = 114,821.26

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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.