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Finding the Fourth Proportional to 214,687.29, 296,254.75 and 119,193.96

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Solution

The fourth proportional to 214,687.29, 296,254.75 and 119,193.96 is: 164,480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,687.29 : 296,254.75 = 119,193.96 : x
  2. Step 2: Convert to fraction form
    214,687.29/296,254.75 = 119,193.96/x
  3. Step 3: Cross multiply
    214,687.29x = 296,254.75 × 119,193.96
  4. Step 4: Simplify right side
    214,687.29x = 35,311,776,821.31
  5. Step 5: Solve for x
    x = 35,311,776,821.31/214,687.29
  6. Step 6: Final answer
    x = 164,480.05

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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.