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Finding the Fourth Proportional to 149,041.32, 223,584.12 and 49,212

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Solution

The fourth proportional to 149,041.32, 223,584.12 and 49,212 is: 73,825.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,041.32 : 223,584.12 = 49,212 : x
  2. Step 2: Convert to fraction form
    149,041.32/223,584.12 = 49,212/x
  3. Step 3: Cross multiply
    149,041.32x = 223,584.12 × 49,212
  4. Step 4: Simplify right side
    149,041.32x = 11,003,021,713.44
  5. Step 5: Solve for x
    x = 11,003,021,713.44/149,041.32
  6. Step 6: Final answer
    x = 73,825.31

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