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Finding the Fourth Proportional to 133,814, 184,663.32 and 74,198

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Solution

The fourth proportional to 133,814, 184,663.32 and 74,198 is: 102,393.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,814 : 184,663.32 = 74,198 : x
  2. Step 2: Convert to fraction form
    133,814/184,663.32 = 74,198/x
  3. Step 3: Cross multiply
    133,814x = 184,663.32 × 74,198
  4. Step 4: Simplify right side
    133,814x = 13,701,649,017.36
  5. Step 5: Solve for x
    x = 13,701,649,017.36/133,814
  6. Step 6: Final answer
    x = 102,393.24

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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.