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Finding the Fourth Proportional to 214,138.69, 295,508.66 and 133,560.50

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Solution

The fourth proportional to 214,138.69, 295,508.66 and 133,560.50 is: 184,311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,138.69 : 295,508.66 = 133,560.50 : x
  2. Step 2: Convert to fraction form
    214,138.69/295,508.66 = 133,560.50/x
  3. Step 3: Cross multiply
    214,138.69x = 295,508.66 × 133,560.50
  4. Step 4: Simplify right side
    214,138.69x = 39,468,282,238.58
  5. Step 5: Solve for x
    x = 39,468,282,238.58/214,138.69
  6. Step 6: Final answer
    x = 184,311.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.