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Finding the Fourth Proportional to 133,426.70, 184,195.47 and 76,827.14

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Solution

The fourth proportional to 133,426.70, 184,195.47 and 76,827.14 is: 106,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,426.70 : 184,195.47 = 76,827.14 : x
  2. Step 2: Convert to fraction form
    133,426.70/184,195.47 = 76,827.14/x
  3. Step 3: Cross multiply
    133,426.70x = 184,195.47 × 76,827.14
  4. Step 4: Simplify right side
    133,426.70x = 14,151,209,855.94
  5. Step 5: Solve for x
    x = 14,151,209,855.94/133,426.70
  6. Step 6: Final answer
    x = 106,059.81

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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.