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Finding the Fourth Proportional to 123,047.64, 184,513.68 and 73,134.36

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Solution

The fourth proportional to 123,047.64, 184,513.68 and 73,134.36 is: 109,667.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,047.64 : 184,513.68 = 73,134.36 : x
  2. Step 2: Convert to fraction form
    123,047.64/184,513.68 = 73,134.36/x
  3. Step 3: Cross multiply
    123,047.64x = 184,513.68 × 73,134.36
  4. Step 4: Simplify right side
    123,047.64x = 13,494,289,898.04
  5. Step 5: Solve for x
    x = 13,494,289,898.04/123,047.64
  6. Step 6: Final answer
    x = 109,667.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.