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Finding the Fourth Proportional to 214,538.62, 296,077.20 and 119,045.56

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Solution

The fourth proportional to 214,538.62, 296,077.20 and 119,045.56 is: 164,290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,538.62 : 296,077.20 = 119,045.56 : x
  2. Step 2: Convert to fraction form
    214,538.62/296,077.20 = 119,045.56/x
  3. Step 3: Cross multiply
    214,538.62x = 296,077.20 × 119,045.56
  4. Step 4: Simplify right side
    214,538.62x = 35,246,676,077.23
  5. Step 5: Solve for x
    x = 35,246,676,077.23/214,538.62
  6. Step 6: Final answer
    x = 164,290.59

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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.