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Finding the Fourth Proportional to 133,494.54, 184,214.97 and 73,065.06

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Solution

The fourth proportional to 133,494.54, 184,214.97 and 73,065.06 is: 100,825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,494.54 : 184,214.97 = 73,065.06 : x
  2. Step 2: Convert to fraction form
    133,494.54/184,214.97 = 73,065.06/x
  3. Step 3: Cross multiply
    133,494.54x = 184,214.97 × 73,065.06
  4. Step 4: Simplify right side
    133,494.54x = 13,459,677,835.95
  5. Step 5: Solve for x
    x = 13,459,677,835.95/133,494.54
  6. Step 6: Final answer
    x = 100,825.68

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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.