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Finding the Fourth Proportional to 224,616.87, 309,983.85 and 122,651.82

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Solution

The fourth proportional to 224,616.87, 309,983.85 and 122,651.82 is: 169,266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,616.87 : 309,983.85 = 122,651.82 : x
  2. Step 2: Convert to fraction form
    224,616.87/309,983.85 = 122,651.82/x
  3. Step 3: Cross multiply
    224,616.87x = 309,983.85 × 122,651.82
  4. Step 4: Simplify right side
    224,616.87x = 38,020,083,373.11
  5. Step 5: Solve for x
    x = 38,020,083,373.11/224,616.87
  6. Step 6: Final answer
    x = 169,266.38

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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.