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Finding the Fourth Proportional to 305,241.84, 421,232.40 and 171,105.84

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Solution

The fourth proportional to 305,241.84, 421,232.40 and 171,105.84 is: 236,125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,241.84 : 421,232.40 = 171,105.84 : x
  2. Step 2: Convert to fraction form
    305,241.84/421,232.40 = 171,105.84/x
  3. Step 3: Cross multiply
    305,241.84x = 421,232.40 × 171,105.84
  4. Step 4: Simplify right side
    305,241.84x = 72,075,323,637.22
  5. Step 5: Solve for x
    x = 72,075,323,637.22/305,241.84
  6. Step 6: Final answer
    x = 236,125.31

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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.