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Finding the Fourth Proportional to 123,143.42, 184,381.99 and 63,854.46

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Solution

The fourth proportional to 123,143.42, 184,381.99 and 63,854.46 is: 95,608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,143.42 : 184,381.99 = 63,854.46 : x
  2. Step 2: Convert to fraction form
    123,143.42/184,381.99 = 63,854.46/x
  3. Step 3: Cross multiply
    123,143.42x = 184,381.99 × 63,854.46
  4. Step 4: Simplify right side
    123,143.42x = 11,773,612,245.54
  5. Step 5: Solve for x
    x = 11,773,612,245.54/123,143.42
  6. Step 6: Final answer
    x = 95,608.94

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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.