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Finding the Fourth Proportional to 162,204, 223,841.52 and 89,606.54

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Solution

The fourth proportional to 162,204, 223,841.52 and 89,606.54 is: 123,657.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,204 : 223,841.52 = 89,606.54 : x
  2. Step 2: Convert to fraction form
    162,204/223,841.52 = 89,606.54/x
  3. Step 3: Cross multiply
    162,204x = 223,841.52 × 89,606.54
  4. Step 4: Simplify right side
    162,204x = 20,057,662,996.33
  5. Step 5: Solve for x
    x = 20,057,662,996.33/162,204
  6. Step 6: Final answer
    x = 123,657.02

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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.