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Finding the Fourth Proportional to 209,864.88, 289,605.12 and 114,369.54

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Solution

The fourth proportional to 209,864.88, 289,605.12 and 114,369.54 is: 157,825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,864.88 : 289,605.12 = 114,369.54 : x
  2. Step 2: Convert to fraction form
    209,864.88/289,605.12 = 114,369.54/x
  3. Step 3: Cross multiply
    209,864.88x = 289,605.12 × 114,369.54
  4. Step 4: Simplify right side
    209,864.88x = 33,122,004,356.04
  5. Step 5: Solve for x
    x = 33,122,004,356.04/209,864.88
  6. Step 6: Final answer
    x = 157,825.38

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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.