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Finding the Fourth Proportional to 305,178.96, 421,130.13 and 169,204.98

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Solution

The fourth proportional to 305,178.96, 421,130.13 and 169,204.98 is: 233,493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,178.96 : 421,130.13 = 169,204.98 : x
  2. Step 2: Convert to fraction form
    305,178.96/421,130.13 = 169,204.98/x
  3. Step 3: Cross multiply
    305,178.96x = 421,130.13 × 169,204.98
  4. Step 4: Simplify right side
    305,178.96x = 71,257,315,224.05
  5. Step 5: Solve for x
    x = 71,257,315,224.05/305,178.96
  6. Step 6: Final answer
    x = 233,493.54

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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.