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Finding the Fourth Proportional to 133,771, 184,602.74 and 73,345

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Solution

The fourth proportional to 133,771, 184,602.74 and 73,345 is: 101,215.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,771 : 184,602.74 = 73,345 : x
  2. Step 2: Convert to fraction form
    133,771/184,602.74 = 73,345/x
  3. Step 3: Cross multiply
    133,771x = 184,602.74 × 73,345
  4. Step 4: Simplify right side
    133,771x = 13,539,687,965.30
  5. Step 5: Solve for x
    x = 13,539,687,965.30/133,771
  6. Step 6: Final answer
    x = 101,215.42

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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.