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Finding the Fourth Proportional to 133,537.50, 184,281.76 and 73,921.50

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Solution

The fourth proportional to 133,537.50, 184,281.76 and 73,921.50 is: 102,011.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,537.50 : 184,281.76 = 73,921.50 : x
  2. Step 2: Convert to fraction form
    133,537.50/184,281.76 = 73,921.50/x
  3. Step 3: Cross multiply
    133,537.50x = 184,281.76 × 73,921.50
  4. Step 4: Simplify right side
    133,537.50x = 13,622,384,121.84
  5. Step 5: Solve for x
    x = 13,622,384,121.84/133,537.50
  6. Step 6: Final answer
    x = 102,011.68

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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.