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Finding the Fourth Proportional to 133,015.38, 183,558.78 and 72,584.48

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Solution

The fourth proportional to 133,015.38, 183,558.78 and 72,584.48 is: 100,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,015.38 : 183,558.78 = 72,584.48 : x
  2. Step 2: Convert to fraction form
    133,015.38/183,558.78 = 72,584.48/x
  3. Step 3: Cross multiply
    133,015.38x = 183,558.78 × 72,584.48
  4. Step 4: Simplify right side
    133,015.38x = 13,323,517,677.94
  5. Step 5: Solve for x
    x = 13,323,517,677.94/133,015.38
  6. Step 6: Final answer
    x = 100,165.24

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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.