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Finding the Fourth Proportional to 149,804.60, 224,739.30 and 49,947.80

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Solution

The fourth proportional to 149,804.60, 224,739.30 and 49,947.80 is: 74,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,804.60 : 224,739.30 = 49,947.80 : x
  2. Step 2: Convert to fraction form
    149,804.60/224,739.30 = 49,947.80/x
  3. Step 3: Cross multiply
    149,804.60x = 224,739.30 × 49,947.80
  4. Step 4: Simplify right side
    149,804.60x = 11,225,233,608.54
  5. Step 5: Solve for x
    x = 11,225,233,608.54/149,804.60
  6. Step 6: Final answer
    x = 74,932.50

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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.