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Finding the Fourth Proportional to 217,082.10, 325,623.15 and 146,223.30

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Solution

The fourth proportional to 217,082.10, 325,623.15 and 146,223.30 is: 219,334.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,082.10 : 325,623.15 = 146,223.30 : x
  2. Step 2: Convert to fraction form
    217,082.10/325,623.15 = 146,223.30/x
  3. Step 3: Cross multiply
    217,082.10x = 325,623.15 × 146,223.30
  4. Step 4: Simplify right side
    217,082.10x = 47,613,691,549.40
  5. Step 5: Solve for x
    x = 47,613,691,549.40/217,082.10
  6. Step 6: Final answer
    x = 219,334.95

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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.