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Finding the Fourth Proportional to 164,902.50, 247,354.32 and 40,243.50

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Solution

The fourth proportional to 164,902.50, 247,354.32 and 40,243.50 is: 60,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,902.50 : 247,354.32 = 40,243.50 : x
  2. Step 2: Convert to fraction form
    164,902.50/247,354.32 = 40,243.50/x
  3. Step 3: Cross multiply
    164,902.50x = 247,354.32 × 40,243.50
  4. Step 4: Simplify right side
    164,902.50x = 9,954,403,576.92
  5. Step 5: Solve for x
    x = 9,954,403,576.92/164,902.50
  6. Step 6: Final answer
    x = 60,365.39

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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.