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Finding the Fourth Proportional to 149,432.98, 224,202.76 and 74,546.50

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Solution

The fourth proportional to 149,432.98, 224,202.76 and 74,546.50 is: 111,846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,432.98 : 224,202.76 = 74,546.50 : x
  2. Step 2: Convert to fraction form
    149,432.98/224,202.76 = 74,546.50/x
  3. Step 3: Cross multiply
    149,432.98x = 224,202.76 × 74,546.50
  4. Step 4: Simplify right side
    149,432.98x = 16,713,531,048.34
  5. Step 5: Solve for x
    x = 16,713,531,048.34/149,432.98
  6. Step 6: Final answer
    x = 111,846.33

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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.