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Finding the Fourth Proportional to 299,359.96, 413,087.34 and 165,215.32

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Solution

The fourth proportional to 299,359.96, 413,087.34 and 165,215.32 is: 227,980.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,359.96 : 413,087.34 = 165,215.32 : x
  2. Step 2: Convert to fraction form
    299,359.96/413,087.34 = 165,215.32/x
  3. Step 3: Cross multiply
    299,359.96x = 413,087.34 × 165,215.32
  4. Step 4: Simplify right side
    299,359.96x = 68,248,357,066.05
  5. Step 5: Solve for x
    x = 68,248,357,066.05/299,359.96
  6. Step 6: Final answer
    x = 227,980.91

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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.