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Finding the Fourth Proportional to 214,505.44, 296,017.54 and 119,011.91

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Solution

The fourth proportional to 214,505.44, 296,017.54 and 119,011.91 is: 164,236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,505.44 : 296,017.54 = 119,011.91 : x
  2. Step 2: Convert to fraction form
    214,505.44/296,017.54 = 119,011.91/x
  3. Step 3: Cross multiply
    214,505.44x = 296,017.54 × 119,011.91
  4. Step 4: Simplify right side
    214,505.44x = 35,229,611,497.58
  5. Step 5: Solve for x
    x = 35,229,611,497.58/214,505.44
  6. Step 6: Final answer
    x = 164,236.45

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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.