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Finding the Fourth Proportional to 214,502.41, 296,013.37 and 119,008.88

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Solution

The fourth proportional to 214,502.41, 296,013.37 and 119,008.88 is: 164,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,502.41 : 296,013.37 = 119,008.88 : x
  2. Step 2: Convert to fraction form
    214,502.41/296,013.37 = 119,008.88/x
  3. Step 3: Cross multiply
    214,502.41x = 296,013.37 × 119,008.88
  4. Step 4: Simplify right side
    214,502.41x = 35,228,219,516.21
  5. Step 5: Solve for x
    x = 35,228,219,516.21/214,502.41
  6. Step 6: Final answer
    x = 164,232.28

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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.