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Finding the Fourth Proportional to 294,202.69, 441,369.65 and 107,214.19

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Solution

The fourth proportional to 294,202.69, 441,369.65 and 107,214.19 is: 160,845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,202.69 : 441,369.65 = 107,214.19 : x
  2. Step 2: Convert to fraction form
    294,202.69/441,369.65 = 107,214.19/x
  3. Step 3: Cross multiply
    294,202.69x = 441,369.65 × 107,214.19
  4. Step 4: Simplify right side
    294,202.69x = 47,321,088,679.94
  5. Step 5: Solve for x
    x = 47,321,088,679.94/294,202.69
  6. Step 6: Final answer
    x = 160,845.20

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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.