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Finding the Fourth Proportional to 217,348.50, 299,594.50 and 171,333.16

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Solution

The fourth proportional to 217,348.50, 299,594.50 and 171,333.16 is: 236,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,348.50 : 299,594.50 = 171,333.16 : x
  2. Step 2: Convert to fraction form
    217,348.50/299,594.50 = 171,333.16/x
  3. Step 3: Cross multiply
    217,348.50x = 299,594.50 × 171,333.16
  4. Step 4: Simplify right side
    217,348.50x = 51,330,472,403.62
  5. Step 5: Solve for x
    x = 51,330,472,403.62/217,348.50
  6. Step 6: Final answer
    x = 236,166.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.