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Finding the Fourth Proportional to 149,764.24, 224,571.24 and 49,889.32

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Solution

The fourth proportional to 149,764.24, 224,571.24 and 49,889.32 is: 74,808.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,764.24 : 224,571.24 = 49,889.32 : x
  2. Step 2: Convert to fraction form
    149,764.24/224,571.24 = 49,889.32/x
  3. Step 3: Cross multiply
    149,764.24x = 224,571.24 × 49,889.32
  4. Step 4: Simplify right side
    149,764.24x = 11,203,706,455.16
  5. Step 5: Solve for x
    x = 11,203,706,455.16/149,764.24
  6. Step 6: Final answer
    x = 74,808.96

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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.