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Finding the Fourth Proportional to 162,201.52, 223,828.80 and 96,864.08

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Solution

The fourth proportional to 162,201.52, 223,828.80 and 96,864.08 is: 133,666.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,201.52 : 223,828.80 = 96,864.08 : x
  2. Step 2: Convert to fraction form
    162,201.52/223,828.80 = 96,864.08/x
  3. Step 3: Cross multiply
    162,201.52x = 223,828.80 × 96,864.08
  4. Step 4: Simplify right side
    162,201.52x = 21,680,970,789.50
  5. Step 5: Solve for x
    x = 21,680,970,789.50/162,201.52
  6. Step 6: Final answer
    x = 133,666.88

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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.