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Finding the Fourth Proportional to 150,273.98, 207,378.16 and 82,295.19

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Solution

The fourth proportional to 150,273.98, 207,378.16 and 82,295.19 is: 113,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,273.98 : 207,378.16 = 82,295.19 : x
  2. Step 2: Convert to fraction form
    150,273.98/207,378.16 = 82,295.19/x
  3. Step 3: Cross multiply
    150,273.98x = 207,378.16 × 82,295.19
  4. Step 4: Simplify right side
    150,273.98x = 17,066,224,873.31
  5. Step 5: Solve for x
    x = 17,066,224,873.31/150,273.98
  6. Step 6: Final answer
    x = 113,567.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.