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Finding the Fourth Proportional to 221,570.63, 332,286.23 and 71,776.17

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Solution

The fourth proportional to 221,570.63, 332,286.23 and 71,776.17 is: 107,641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,570.63 : 332,286.23 = 71,776.17 : x
  2. Step 2: Convert to fraction form
    221,570.63/332,286.23 = 71,776.17/x
  3. Step 3: Cross multiply
    221,570.63x = 332,286.23 × 71,776.17
  4. Step 4: Simplify right side
    221,570.63x = 23,850,231,271.71
  5. Step 5: Solve for x
    x = 23,850,231,271.71/221,570.63
  6. Step 6: Final answer
    x = 107,641.67

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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.