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Finding the Fourth Proportional to 247,072.85, 340,847.34 and 145,096.48

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Solution

The fourth proportional to 247,072.85, 340,847.34 and 145,096.48 is: 200,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,072.85 : 340,847.34 = 145,096.48 : x
  2. Step 2: Convert to fraction form
    247,072.85/340,847.34 = 145,096.48/x
  3. Step 3: Cross multiply
    247,072.85x = 340,847.34 × 145,096.48
  4. Step 4: Simplify right side
    247,072.85x = 49,455,747,547.13
  5. Step 5: Solve for x
    x = 49,455,747,547.13/247,072.85
  6. Step 6: Final answer
    x = 200,166.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.