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Finding the Fourth Proportional to 135,830.52, 203,473.62 and 107,798.04

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Solution

The fourth proportional to 135,830.52, 203,473.62 and 107,798.04 is: 161,481.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,830.52 : 203,473.62 = 107,798.04 : x
  2. Step 2: Convert to fraction form
    135,830.52/203,473.62 = 107,798.04/x
  3. Step 3: Cross multiply
    135,830.52x = 203,473.62 × 107,798.04
  4. Step 4: Simplify right side
    135,830.52x = 21,934,057,427.70
  5. Step 5: Solve for x
    x = 21,934,057,427.70/135,830.52
  6. Step 6: Final answer
    x = 161,481.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.