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Finding the Fourth Proportional to 122,967.48, 184,214.70 and 75,443.88

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Solution

The fourth proportional to 122,967.48, 184,214.70 and 75,443.88 is: 113,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,967.48 : 184,214.70 = 75,443.88 : x
  2. Step 2: Convert to fraction form
    122,967.48/184,214.70 = 75,443.88/x
  3. Step 3: Cross multiply
    122,967.48x = 184,214.70 × 75,443.88
  4. Step 4: Simplify right side
    122,967.48x = 13,897,871,721.04
  5. Step 5: Solve for x
    x = 13,897,871,721.04/122,967.48
  6. Step 6: Final answer
    x = 113,020.71

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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.