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Finding the Fourth Proportional to 123,005, 184,507.50 and 35,453

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Solution

The fourth proportional to 123,005, 184,507.50 and 35,453 is: 53,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,005 : 184,507.50 = 35,453 : x
  2. Step 2: Convert to fraction form
    123,005/184,507.50 = 35,453/x
  3. Step 3: Cross multiply
    123,005x = 184,507.50 × 35,453
  4. Step 4: Simplify right side
    123,005x = 6,541,344,397.50
  5. Step 5: Solve for x
    x = 6,541,344,397.50/123,005
  6. Step 6: Final answer
    x = 53,179.50

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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.