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Finding the Fourth Proportional to 301,956.50, 416,705.24 and 165,996.18

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Solution

The fourth proportional to 301,956.50, 416,705.24 and 165,996.18 is: 229,077.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,956.50 : 416,705.24 = 165,996.18 : x
  2. Step 2: Convert to fraction form
    301,956.50/416,705.24 = 165,996.18/x
  3. Step 3: Cross multiply
    301,956.50x = 416,705.24 × 165,996.18
  4. Step 4: Simplify right side
    301,956.50x = 69,171,476,154.24
  5. Step 5: Solve for x
    x = 69,171,476,154.24/301,956.50
  6. Step 6: Final answer
    x = 229,077.62

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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.