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Finding the Fourth Proportional to 149,674.02, 223,828.98 and 111,749.82

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Solution

The fourth proportional to 149,674.02, 223,828.98 and 111,749.82 is: 167,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,674.02 : 223,828.98 = 111,749.82 : x
  2. Step 2: Convert to fraction form
    149,674.02/223,828.98 = 111,749.82/x
  3. Step 3: Cross multiply
    149,674.02x = 223,828.98 × 111,749.82
  4. Step 4: Simplify right side
    149,674.02x = 25,012,848,225.78
  5. Step 5: Solve for x
    x = 25,012,848,225.78/149,674.02
  6. Step 6: Final answer
    x = 167,115.50

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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.