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Finding the Fourth Proportional to 149,821.51, 224,476.44 and 82,409.94

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Solution

The fourth proportional to 149,821.51, 224,476.44 and 82,409.94 is: 123,474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,821.51 : 224,476.44 = 82,409.94 : x
  2. Step 2: Convert to fraction form
    149,821.51/224,476.44 = 82,409.94/x
  3. Step 3: Cross multiply
    149,821.51x = 224,476.44 × 82,409.94
  4. Step 4: Simplify right side
    149,821.51x = 18,499,089,951.81
  5. Step 5: Solve for x
    x = 18,499,089,951.81/149,821.51
  6. Step 6: Final answer
    x = 123,474.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.