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Finding the Fourth Proportional to 133,406.40, 184,098.24 and 72,976.84

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Solution

The fourth proportional to 133,406.40, 184,098.24 and 72,976.84 is: 100,706.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,406.40 : 184,098.24 = 72,976.84 : x
  2. Step 2: Convert to fraction form
    133,406.40/184,098.24 = 72,976.84/x
  3. Step 3: Cross multiply
    133,406.40x = 184,098.24 × 72,976.84
  4. Step 4: Simplify right side
    133,406.40x = 13,434,907,804.76
  5. Step 5: Solve for x
    x = 13,434,907,804.76/133,406.40
  6. Step 6: Final answer
    x = 100,706.62

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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.