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Finding the Fourth Proportional to 305,141.51, 421,120.24 and 169,218.10

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Solution

The fourth proportional to 305,141.51, 421,120.24 and 169,218.10 is: 233,534.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,141.51 : 421,120.24 = 169,218.10 : x
  2. Step 2: Convert to fraction form
    305,141.51/421,120.24 = 169,218.10/x
  3. Step 3: Cross multiply
    305,141.51x = 421,120.24 × 169,218.10
  4. Step 4: Simplify right side
    305,141.51x = 71,261,165,094.82
  5. Step 5: Solve for x
    x = 71,261,165,094.82/305,141.51
  6. Step 6: Final answer
    x = 233,534.81

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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.