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Finding the Fourth Proportional to 133,407.04, 184,106.46 and 72,974.08

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Solution

The fourth proportional to 133,407.04, 184,106.46 and 72,974.08 is: 100,706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,407.04 : 184,106.46 = 72,974.08 : x
  2. Step 2: Convert to fraction form
    133,407.04/184,106.46 = 72,974.08/x
  3. Step 3: Cross multiply
    133,407.04x = 184,106.46 × 72,974.08
  4. Step 4: Simplify right side
    133,407.04x = 13,434,999,540.56
  5. Step 5: Solve for x
    x = 13,434,999,540.56/133,407.04
  6. Step 6: Final answer
    x = 100,706.83

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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.