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Finding the Fourth Proportional to 133,461, 184,182.12 and 73,845

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Solution

The fourth proportional to 133,461, 184,182.12 and 73,845 is: 101,909.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,461 : 184,182.12 = 73,845 : x
  2. Step 2: Convert to fraction form
    133,461/184,182.12 = 73,845/x
  3. Step 3: Cross multiply
    133,461x = 184,182.12 × 73,845
  4. Step 4: Simplify right side
    133,461x = 13,600,928,651.40
  5. Step 5: Solve for x
    x = 13,600,928,651.40/133,461
  6. Step 6: Final answer
    x = 101,909.39

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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.