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Finding the Fourth Proportional to 264,004.32, 395,914.32 and 106,191.84

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Solution

The fourth proportional to 264,004.32, 395,914.32 and 106,191.84 is: 159,250.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,004.32 : 395,914.32 = 106,191.84 : x
  2. Step 2: Convert to fraction form
    264,004.32/395,914.32 = 106,191.84/x
  3. Step 3: Cross multiply
    264,004.32x = 395,914.32 × 106,191.84
  4. Step 4: Simplify right side
    264,004.32x = 42,042,870,123.15
  5. Step 5: Solve for x
    x = 42,042,870,123.15/264,004.32
  6. Step 6: Final answer
    x = 159,250.69

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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.