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Finding the Fourth Proportional to 222,970.25, 307,698.95 and 133,546.25

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Solution

The fourth proportional to 222,970.25, 307,698.95 and 133,546.25 is: 184,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,970.25 : 307,698.95 = 133,546.25 : x
  2. Step 2: Convert to fraction form
    222,970.25/307,698.95 = 133,546.25/x
  3. Step 3: Cross multiply
    222,970.25x = 307,698.95 × 133,546.25
  4. Step 4: Simplify right side
    222,970.25x = 41,092,040,901.44
  5. Step 5: Solve for x
    x = 41,092,040,901.44/222,970.25
  6. Step 6: Final answer
    x = 184,293.83

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1.5x scale

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.