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Finding the Fourth Proportional to 214,509.68, 296,024.50 and 119,016.37

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Solution

The fourth proportional to 214,509.68, 296,024.50 and 119,016.37 is: 164,243.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,509.68 : 296,024.50 = 119,016.37 : x
  2. Step 2: Convert to fraction form
    214,509.68/296,024.50 = 119,016.37/x
  3. Step 3: Cross multiply
    214,509.68x = 296,024.50 × 119,016.37
  4. Step 4: Simplify right side
    214,509.68x = 35,231,761,421.07
  5. Step 5: Solve for x
    x = 35,231,761,421.07/214,509.68
  6. Step 6: Final answer
    x = 164,243.22

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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.