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Finding the Fourth Proportional to 138,770.35, 191,506.58 and 85,084.97

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Solution

The fourth proportional to 138,770.35, 191,506.58 and 85,084.97 is: 117,419.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,770.35 : 191,506.58 = 85,084.97 : x
  2. Step 2: Convert to fraction form
    138,770.35/191,506.58 = 85,084.97/x
  3. Step 3: Cross multiply
    138,770.35x = 191,506.58 × 85,084.97
  4. Step 4: Simplify right side
    138,770.35x = 16,294,330,550.21
  5. Step 5: Solve for x
    x = 16,294,330,550.21/138,770.35
  6. Step 6: Final answer
    x = 117,419.40

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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.