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Finding the Fourth Proportional to 264,006.32, 395,917.32 and 106,193.84

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Solution

The fourth proportional to 264,006.32, 395,917.32 and 106,193.84 is: 159,253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,006.32 : 395,917.32 = 106,193.84 : x
  2. Step 2: Convert to fraction form
    264,006.32/395,917.32 = 106,193.84/x
  3. Step 3: Cross multiply
    264,006.32x = 395,917.32 × 106,193.84
  4. Step 4: Simplify right side
    264,006.32x = 42,043,980,533.31
  5. Step 5: Solve for x
    x = 42,043,980,533.31/264,006.32
  6. Step 6: Final answer
    x = 159,253.69

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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.