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Finding the Fourth Proportional to 140,313.48, 210,553.26 and 51,629.26

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Solution

The fourth proportional to 140,313.48, 210,553.26 and 51,629.26 is: 77,474.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,313.48 : 210,553.26 = 51,629.26 : x
  2. Step 2: Convert to fraction form
    140,313.48/210,553.26 = 51,629.26/x
  3. Step 3: Cross multiply
    140,313.48x = 210,553.26 × 51,629.26
  4. Step 4: Simplify right side
    140,313.48x = 10,870,709,272.62
  5. Step 5: Solve for x
    x = 10,870,709,272.62/140,313.48
  6. Step 6: Final answer
    x = 77,474.45

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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.