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Finding the Fourth Proportional to 273,343.61, 410,015.22 and 146,809.67

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Solution

The fourth proportional to 273,343.61, 410,015.22 and 146,809.67 is: 220,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,343.61 : 410,015.22 = 146,809.67 : x
  2. Step 2: Convert to fraction form
    273,343.61/410,015.22 = 146,809.67/x
  3. Step 3: Cross multiply
    273,343.61x = 410,015.22 × 146,809.67
  4. Step 4: Simplify right side
    273,343.61x = 60,194,196,542.57
  5. Step 5: Solve for x
    x = 60,194,196,542.57/273,343.61
  6. Step 6: Final answer
    x = 220,214.39

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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.