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Finding the Fourth Proportional to 217,174.46, 325,401.64 and 153,679.97

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Solution

The fourth proportional to 217,174.46, 325,401.64 and 153,679.97 is: 230,265.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,174.46 : 325,401.64 = 153,679.97 : x
  2. Step 2: Convert to fraction form
    217,174.46/325,401.64 = 153,679.97/x
  3. Step 3: Cross multiply
    217,174.46x = 325,401.64 × 153,679.97
  4. Step 4: Simplify right side
    217,174.46x = 50,007,714,702.46
  5. Step 5: Solve for x
    x = 50,007,714,702.46/217,174.46
  6. Step 6: Final answer
    x = 230,265.18

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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.