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Finding the Fourth Proportional to 305,209.17, 421,186.55 and 169,243.20

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Solution

The fourth proportional to 305,209.17, 421,186.55 and 169,243.20 is: 233,554.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,209.17 : 421,186.55 = 169,243.20 : x
  2. Step 2: Convert to fraction form
    305,209.17/421,186.55 = 169,243.20/x
  3. Step 3: Cross multiply
    305,209.17x = 421,186.55 × 169,243.20
  4. Step 4: Simplify right side
    305,209.17x = 71,282,958,672.74
  5. Step 5: Solve for x
    x = 71,282,958,672.74/305,209.17
  6. Step 6: Final answer
    x = 233,554.45

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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.