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Finding the Fourth Proportional to 162,398.52, 223,998.75 and 105,886.44

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Solution

The fourth proportional to 162,398.52, 223,998.75 and 105,886.44 is: 146,050.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,398.52 : 223,998.75 = 105,886.44 : x
  2. Step 2: Convert to fraction form
    162,398.52/223,998.75 = 105,886.44/x
  3. Step 3: Cross multiply
    162,398.52x = 223,998.75 × 105,886.44
  4. Step 4: Simplify right side
    162,398.52x = 23,718,430,201.95
  5. Step 5: Solve for x
    x = 23,718,430,201.95/162,398.52
  6. Step 6: Final answer
    x = 146,050.78

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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.