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Finding the Fourth Proportional to 265,097.96, 397,486.38 and 119,011.04

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Solution

The fourth proportional to 265,097.96, 397,486.38 and 119,011.04 is: 178,444.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,097.96 : 397,486.38 = 119,011.04 : x
  2. Step 2: Convert to fraction form
    265,097.96/397,486.38 = 119,011.04/x
  3. Step 3: Cross multiply
    265,097.96x = 397,486.38 × 119,011.04
  4. Step 4: Simplify right side
    265,097.96x = 47,305,267,469.64
  5. Step 5: Solve for x
    x = 47,305,267,469.64/265,097.96
  6. Step 6: Final answer
    x = 178,444.48

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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.