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Finding the Fourth Proportional to 305,140.39, 421,118.69 and 169,216.97

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Solution

The fourth proportional to 305,140.39, 421,118.69 and 169,216.97 is: 233,533.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,140.39 : 421,118.69 = 169,216.97 : x
  2. Step 2: Convert to fraction form
    305,140.39/421,118.69 = 169,216.97/x
  3. Step 3: Cross multiply
    305,140.39x = 421,118.69 × 169,216.97
  4. Step 4: Simplify right side
    305,140.39x = 71,260,425,780.49
  5. Step 5: Solve for x
    x = 71,260,425,780.49/305,140.39
  6. Step 6: Final answer
    x = 233,533.25

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