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Finding the Fourth Proportional to 219,625.16, 303,082.98 and 119,023.16

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Solution

The fourth proportional to 219,625.16, 303,082.98 and 119,023.16 is: 164,252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,625.16 : 303,082.98 = 119,023.16 : x
  2. Step 2: Convert to fraction form
    219,625.16/303,082.98 = 119,023.16/x
  3. Step 3: Cross multiply
    219,625.16x = 303,082.98 × 119,023.16
  4. Step 4: Simplify right side
    219,625.16x = 36,073,894,021.82
  5. Step 5: Solve for x
    x = 36,073,894,021.82/219,625.16
  6. Step 6: Final answer
    x = 164,252.10

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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.