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Finding the Fourth Proportional to 123,091.44, 184,549.68 and 63,138

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Solution

The fourth proportional to 123,091.44, 184,549.68 and 63,138 is: 94,662.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,091.44 : 184,549.68 = 63,138 : x
  2. Step 2: Convert to fraction form
    123,091.44/184,549.68 = 63,138/x
  3. Step 3: Cross multiply
    123,091.44x = 184,549.68 × 63,138
  4. Step 4: Simplify right side
    123,091.44x = 11,652,097,695.84
  5. Step 5: Solve for x
    x = 11,652,097,695.84/123,091.44
  6. Step 6: Final answer
    x = 94,662.13

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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.