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Finding the Fourth Proportional to 138,745.34, 191,447.98 and 84,269.18

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Solution

The fourth proportional to 138,745.34, 191,447.98 and 84,269.18 is: 116,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,745.34 : 191,447.98 = 84,269.18 : x
  2. Step 2: Convert to fraction form
    138,745.34/191,447.98 = 84,269.18/x
  3. Step 3: Cross multiply
    138,745.34x = 191,447.98 × 84,269.18
  4. Step 4: Simplify right side
    138,745.34x = 16,133,164,287.26
  5. Step 5: Solve for x
    x = 16,133,164,287.26/138,745.34
  6. Step 6: Final answer
    x = 116,278.96

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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.