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Finding the Fourth Proportional to 149,323.94, 223,980.30 and 37,004.48

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Solution

The fourth proportional to 149,323.94, 223,980.30 and 37,004.48 is: 55,505.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,323.94 : 223,980.30 = 37,004.48 : x
  2. Step 2: Convert to fraction form
    149,323.94/223,980.30 = 37,004.48/x
  3. Step 3: Cross multiply
    149,323.94x = 223,980.30 × 37,004.48
  4. Step 4: Simplify right side
    149,323.94x = 8,288,274,531.74
  5. Step 5: Solve for x
    x = 8,288,274,531.74/149,323.94
  6. Step 6: Final answer
    x = 55,505.33

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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.