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Finding the Fourth Proportional to 123,327.48, 184,880.49 and 102,402

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Solution

The fourth proportional to 123,327.48, 184,880.49 and 102,402 is: 153,511.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,327.48 : 184,880.49 = 102,402 : x
  2. Step 2: Convert to fraction form
    123,327.48/184,880.49 = 102,402/x
  3. Step 3: Cross multiply
    123,327.48x = 184,880.49 × 102,402
  4. Step 4: Simplify right side
    123,327.48x = 18,932,131,936.98
  5. Step 5: Solve for x
    x = 18,932,131,936.98/123,327.48
  6. Step 6: Final answer
    x = 153,511.06

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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.