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Finding the Fourth Proportional to 133,407.22, 184,103.43 and 72,977.87

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Solution

The fourth proportional to 133,407.22, 184,103.43 and 72,977.87 is: 100,710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,407.22 : 184,103.43 = 72,977.87 : x
  2. Step 2: Convert to fraction form
    133,407.22/184,103.43 = 72,977.87/x
  3. Step 3: Cross multiply
    133,407.22x = 184,103.43 × 72,977.87
  4. Step 4: Simplify right side
    133,407.22x = 13,435,476,181.09
  5. Step 5: Solve for x
    x = 13,435,476,181.09/133,407.22
  6. Step 6: Final answer
    x = 100,710.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.