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Finding the Fourth Proportional to 149,234.94, 223,930.17 and 66,109.50

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Solution

The fourth proportional to 149,234.94, 223,930.17 and 66,109.50 is: 99,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,234.94 : 223,930.17 = 66,109.50 : x
  2. Step 2: Convert to fraction form
    149,234.94/223,930.17 = 66,109.50/x
  3. Step 3: Cross multiply
    149,234.94x = 223,930.17 × 66,109.50
  4. Step 4: Simplify right side
    149,234.94x = 14,803,911,573.62
  5. Step 5: Solve for x
    x = 14,803,911,573.62/149,234.94
  6. Step 6: Final answer
    x = 99,198.70

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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.