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Finding the Fourth Proportional to 214,707.21, 296,286.98 and 119,208.21

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Solution

The fourth proportional to 214,707.21, 296,286.98 and 119,208.21 is: 164,502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,707.21 : 296,286.98 = 119,208.21 : x
  2. Step 2: Convert to fraction form
    214,707.21/296,286.98 = 119,208.21/x
  3. Step 3: Cross multiply
    214,707.21x = 296,286.98 × 119,208.21
  4. Step 4: Simplify right side
    214,707.21x = 35,319,839,936.06
  5. Step 5: Solve for x
    x = 35,319,839,936.06/214,707.21
  6. Step 6: Final answer
    x = 164,502.35

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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.