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Finding the Fourth Proportional to 273,276.50, 409,903.11 and 93,378.09

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Solution

The fourth proportional to 273,276.50, 409,903.11 and 93,378.09 is: 140,063.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,276.50 : 409,903.11 = 93,378.09 : x
  2. Step 2: Convert to fraction form
    273,276.50/409,903.11 = 93,378.09/x
  3. Step 3: Cross multiply
    273,276.50x = 409,903.11 × 93,378.09
  4. Step 4: Simplify right side
    273,276.50x = 38,275,969,496.86
  5. Step 5: Solve for x
    x = 38,275,969,496.86/273,276.50
  6. Step 6: Final answer
    x = 140,063.16

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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.