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Finding the Fourth Proportional to 162,234.40, 223,892.22 and 90,616

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Solution

The fourth proportional to 162,234.40, 223,892.22 and 90,616 is: 125,054.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,234.40 : 223,892.22 = 90,616 : x
  2. Step 2: Convert to fraction form
    162,234.40/223,892.22 = 90,616/x
  3. Step 3: Cross multiply
    162,234.40x = 223,892.22 × 90,616
  4. Step 4: Simplify right side
    162,234.40x = 20,288,217,407.52
  5. Step 5: Solve for x
    x = 20,288,217,407.52/162,234.40
  6. Step 6: Final answer
    x = 125,054.97

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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.