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Finding the Fourth Proportional to 149,923.94, 224,809.50 and 50,048.24

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Solution

The fourth proportional to 149,923.94, 224,809.50 and 50,048.24 is: 75,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,923.94 : 224,809.50 = 50,048.24 : x
  2. Step 2: Convert to fraction form
    149,923.94/224,809.50 = 50,048.24/x
  3. Step 3: Cross multiply
    149,923.94x = 224,809.50 × 50,048.24
  4. Step 4: Simplify right side
    149,923.94x = 11,251,319,810.28
  5. Step 5: Solve for x
    x = 11,251,319,810.28/149,923.94
  6. Step 6: Final answer
    x = 75,046.85

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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.