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Finding the Fourth Proportional to 289,279.62, 399,202.74 and 161,956.62

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Solution

The fourth proportional to 289,279.62, 399,202.74 and 161,956.62 is: 223,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,279.62 : 399,202.74 = 161,956.62 : x
  2. Step 2: Convert to fraction form
    289,279.62/399,202.74 = 161,956.62/x
  3. Step 3: Cross multiply
    289,279.62x = 399,202.74 × 161,956.62
  4. Step 4: Simplify right side
    289,279.62x = 64,653,526,465.14
  5. Step 5: Solve for x
    x = 64,653,526,465.14/289,279.62
  6. Step 6: Final answer
    x = 223,498.38

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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.