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Finding the Fourth Proportional to 133,407.54, 184,107.15 and 72,974.58

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Solution

The fourth proportional to 133,407.54, 184,107.15 and 72,974.58 is: 100,707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,407.54 : 184,107.15 = 72,974.58 : x
  2. Step 2: Convert to fraction form
    133,407.54/184,107.15 = 72,974.58/x
  3. Step 3: Cross multiply
    133,407.54x = 184,107.15 × 72,974.58
  4. Step 4: Simplify right side
    133,407.54x = 13,435,141,946.25
  5. Step 5: Solve for x
    x = 13,435,141,946.25/133,407.54
  6. Step 6: Final answer
    x = 100,707.52

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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.