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Finding the Fourth Proportional to 214,817.76, 296,448.39 and 119,333.34

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Solution

The fourth proportional to 214,817.76, 296,448.39 and 119,333.34 is: 164,679.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,817.76 : 296,448.39 = 119,333.34 : x
  2. Step 2: Convert to fraction form
    214,817.76/296,448.39 = 119,333.34/x
  3. Step 3: Cross multiply
    214,817.76x = 296,448.39 × 119,333.34
  4. Step 4: Simplify right side
    214,817.76x = 35,376,176,516.32
  5. Step 5: Solve for x
    x = 35,376,176,516.32/214,817.76
  6. Step 6: Final answer
    x = 164,679.94

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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.