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Finding the Fourth Proportional to 115,770.40, 173,396.40 and 69,114.40

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Solution

The fourth proportional to 115,770.40, 173,396.40 and 69,114.40 is: 103,516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,770.40 : 173,396.40 = 69,114.40 : x
  2. Step 2: Convert to fraction form
    115,770.40/173,396.40 = 69,114.40/x
  3. Step 3: Cross multiply
    115,770.40x = 173,396.40 × 69,114.40
  4. Step 4: Simplify right side
    115,770.40x = 11,984,188,148.16
  5. Step 5: Solve for x
    x = 11,984,188,148.16/115,770.40
  6. Step 6: Final answer
    x = 103,516.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.