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Finding the Fourth Proportional to 299,235.23, 413,006.08 and 182,968.58

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Solution

The fourth proportional to 299,235.23, 413,006.08 and 182,968.58 is: 252,534.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,235.23 : 413,006.08 = 182,968.58 : x
  2. Step 2: Convert to fraction form
    299,235.23/413,006.08 = 182,968.58/x
  3. Step 3: Cross multiply
    299,235.23x = 413,006.08 × 182,968.58
  4. Step 4: Simplify right side
    299,235.23x = 75,567,133,009.09
  5. Step 5: Solve for x
    x = 75,567,133,009.09/299,235.23
  6. Step 6: Final answer
    x = 252,534.21

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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.