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Finding the Fourth Proportional to 222,967.75, 307,695.50 and 133,543.75

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Solution

The fourth proportional to 222,967.75, 307,695.50 and 133,543.75 is: 184,290.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,967.75 : 307,695.50 = 133,543.75 : x
  2. Step 2: Convert to fraction form
    222,967.75/307,695.50 = 133,543.75/x
  3. Step 3: Cross multiply
    222,967.75x = 307,695.50 × 133,543.75
  4. Step 4: Simplify right side
    222,967.75x = 41,090,810,928.13
  5. Step 5: Solve for x
    x = 41,090,810,928.13/222,967.75
  6. Step 6: Final answer
    x = 184,290.38

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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.