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Finding the Fourth Proportional to 243,662, 365,546.76 and 103,540.40

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Solution

The fourth proportional to 243,662, 365,546.76 and 103,540.40 is: 155,333.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,662 : 365,546.76 = 103,540.40 : x
  2. Step 2: Convert to fraction form
    243,662/365,546.76 = 103,540.40/x
  3. Step 3: Cross multiply
    243,662x = 365,546.76 × 103,540.40
  4. Step 4: Simplify right side
    243,662x = 37,848,857,749.10
  5. Step 5: Solve for x
    x = 37,848,857,749.10/243,662
  6. Step 6: Final answer
    x = 155,333.44

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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.