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Finding the Fourth Proportional to 274,857.60, 412,296.96 and 97,365.12

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Solution

The fourth proportional to 274,857.60, 412,296.96 and 97,365.12 is: 146,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,857.60 : 412,296.96 = 97,365.12 : x
  2. Step 2: Convert to fraction form
    274,857.60/412,296.96 = 97,365.12/x
  3. Step 3: Cross multiply
    274,857.60x = 412,296.96 × 97,365.12
  4. Step 4: Simplify right side
    274,857.60x = 40,143,342,986.04
  5. Step 5: Solve for x
    x = 40,143,342,986.04/274,857.60
  6. Step 6: Final answer
    x = 146,051.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.