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Finding the Fourth Proportional to 122,989.47, 184,336.05 and 51,884.64

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Solution

The fourth proportional to 122,989.47, 184,336.05 and 51,884.64 is: 77,764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,989.47 : 184,336.05 = 51,884.64 : x
  2. Step 2: Convert to fraction form
    122,989.47/184,336.05 = 51,884.64/x
  3. Step 3: Cross multiply
    122,989.47x = 184,336.05 × 51,884.64
  4. Step 4: Simplify right side
    122,989.47x = 9,564,209,593.27
  5. Step 5: Solve for x
    x = 9,564,209,593.27/122,989.47
  6. Step 6: Final answer
    x = 77,764.46

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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.