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Finding the Fourth Proportional to 220,184.46, 303,856.11 and 119,582.46

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Solution

The fourth proportional to 220,184.46, 303,856.11 and 119,582.46 is: 165,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,184.46 : 303,856.11 = 119,582.46 : x
  2. Step 2: Convert to fraction form
    220,184.46/303,856.11 = 119,582.46/x
  3. Step 3: Cross multiply
    220,184.46x = 303,856.11 × 119,582.46
  4. Step 4: Simplify right side
    220,184.46x = 36,335,861,119.83
  5. Step 5: Solve for x
    x = 36,335,861,119.83/220,184.46
  6. Step 6: Final answer
    x = 165,024.64

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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.