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Finding the Fourth Proportional to 305,142.51, 421,121.62 and 169,219.10

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Solution

The fourth proportional to 305,142.51, 421,121.62 and 169,219.10 is: 233,536.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,142.51 : 421,121.62 = 169,219.10 : x
  2. Step 2: Convert to fraction form
    305,142.51/421,121.62 = 169,219.10/x
  3. Step 3: Cross multiply
    305,142.51x = 421,121.62 × 169,219.10
  4. Step 4: Simplify right side
    305,142.51x = 71,261,821,526.94
  5. Step 5: Solve for x
    x = 71,261,821,526.94/305,142.51
  6. Step 6: Final answer
    x = 233,536.20

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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.