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Finding the Fourth Proportional to 273,162.12, 409,803.36 and 83,623.92

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Solution

The fourth proportional to 273,162.12, 409,803.36 and 83,623.92 is: 125,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,162.12 : 409,803.36 = 83,623.92 : x
  2. Step 2: Convert to fraction form
    273,162.12/409,803.36 = 83,623.92/x
  3. Step 3: Cross multiply
    273,162.12x = 409,803.36 × 83,623.92
  4. Step 4: Simplify right side
    273,162.12x = 34,269,363,392.37
  5. Step 5: Solve for x
    x = 34,269,363,392.37/273,162.12
  6. Step 6: Final answer
    x = 125,454.30

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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.