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Finding the Fourth Proportional to 103,468.40, 155,202.60 and 41,138.90

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Solution

The fourth proportional to 103,468.40, 155,202.60 and 41,138.90 is: 61,708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,468.40 : 155,202.60 = 41,138.90 : x
  2. Step 2: Convert to fraction form
    103,468.40/155,202.60 = 41,138.90/x
  3. Step 3: Cross multiply
    103,468.40x = 155,202.60 × 41,138.90
  4. Step 4: Simplify right side
    103,468.40x = 6,384,864,241.14
  5. Step 5: Solve for x
    x = 6,384,864,241.14/103,468.40
  6. Step 6: Final answer
    x = 61,708.35

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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.