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Finding the Fourth Proportional to 122,796.51, 184,187.24 and 72,223.50

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Solution

The fourth proportional to 122,796.51, 184,187.24 and 72,223.50 is: 108,330.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,796.51 : 184,187.24 = 72,223.50 : x
  2. Step 2: Convert to fraction form
    122,796.51/184,187.24 = 72,223.50/x
  3. Step 3: Cross multiply
    122,796.51x = 184,187.24 × 72,223.50
  4. Step 4: Simplify right side
    122,796.51x = 13,302,646,767.02
  5. Step 5: Solve for x
    x = 13,302,646,767.02/122,796.51
  6. Step 6: Final answer
    x = 108,330.82

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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.