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Finding the Fourth Proportional to 301,210.62, 451,794.57 and 141,321.66

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Solution

The fourth proportional to 301,210.62, 451,794.57 and 141,321.66 is: 211,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,210.62 : 451,794.57 = 141,321.66 : x
  2. Step 2: Convert to fraction form
    301,210.62/451,794.57 = 141,321.66/x
  3. Step 3: Cross multiply
    301,210.62x = 451,794.57 × 141,321.66
  4. Step 4: Simplify right side
    301,210.62x = 63,848,358,611.39
  5. Step 5: Solve for x
    x = 63,848,358,611.39/301,210.62
  6. Step 6: Final answer
    x = 211,972.47

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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.