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Finding the Fourth Proportional to 122,954.81, 184,309.10 and 47,971.80

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Solution

The fourth proportional to 122,954.81, 184,309.10 and 47,971.80 is: 71,909.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,954.81 : 184,309.10 = 47,971.80 : x
  2. Step 2: Convert to fraction form
    122,954.81/184,309.10 = 47,971.80/x
  3. Step 3: Cross multiply
    122,954.81x = 184,309.10 × 47,971.80
  4. Step 4: Simplify right side
    122,954.81x = 8,841,639,043.52
  5. Step 5: Solve for x
    x = 8,841,639,043.52/122,954.81
  6. Step 6: Final answer
    x = 71,909.66

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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.