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Finding the Fourth Proportional to 123,274.51, 184,840.41 and 48,306.88

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Solution

The fourth proportional to 123,274.51, 184,840.41 and 48,306.88 is: 72,432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,274.51 : 184,840.41 = 48,306.88 : x
  2. Step 2: Convert to fraction form
    123,274.51/184,840.41 = 48,306.88/x
  3. Step 3: Cross multiply
    123,274.51x = 184,840.41 × 48,306.88
  4. Step 4: Simplify right side
    123,274.51x = 8,929,063,917.22
  5. Step 5: Solve for x
    x = 8,929,063,917.22/123,274.51
  6. Step 6: Final answer
    x = 72,432.36

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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.