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Finding the Fourth Proportional to 265,956.45, 367,019.33 and 145,097.85

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Solution

The fourth proportional to 265,956.45, 367,019.33 and 145,097.85 is: 200,234.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,956.45 : 367,019.33 = 145,097.85 : x
  2. Step 2: Convert to fraction form
    265,956.45/367,019.33 = 145,097.85/x
  3. Step 3: Cross multiply
    265,956.45x = 367,019.33 × 145,097.85
  4. Step 4: Simplify right side
    265,956.45x = 53,253,714,965.95
  5. Step 5: Solve for x
    x = 53,253,714,965.95/265,956.45
  6. Step 6: Final answer
    x = 200,234.72

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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.