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Finding the Fourth Proportional to 223,765.06, 308,795.80 and 123,163.06

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Solution

The fourth proportional to 223,765.06, 308,795.80 and 123,163.06 is: 169,965.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,765.06 : 308,795.80 = 123,163.06 : x
  2. Step 2: Convert to fraction form
    223,765.06/308,795.80 = 123,163.06/x
  3. Step 3: Cross multiply
    223,765.06x = 308,795.80 × 123,163.06
  4. Step 4: Simplify right side
    223,765.06x = 38,032,235,643.15
  5. Step 5: Solve for x
    x = 38,032,235,643.15/223,765.06
  6. Step 6: Final answer
    x = 169,965.03

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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.