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Finding the Fourth Proportional to 223,271.25, 308,119.19 and 122,669.25

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Solution

The fourth proportional to 223,271.25, 308,119.19 and 122,669.25 is: 169,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,271.25 : 308,119.19 = 122,669.25 : x
  2. Step 2: Convert to fraction form
    223,271.25/308,119.19 = 122,669.25/x
  3. Step 3: Cross multiply
    223,271.25x = 308,119.19 × 122,669.25
  4. Step 4: Simplify right side
    223,271.25x = 37,796,749,334.56
  5. Step 5: Solve for x
    x = 37,796,749,334.56/223,271.25
  6. Step 6: Final answer
    x = 169,286.24

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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.