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Finding the Fourth Proportional to 214,510.34, 296,024.30 and 119,016.80

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Solution

The fourth proportional to 214,510.34, 296,024.30 and 119,016.80 is: 164,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,510.34 : 296,024.30 = 119,016.80 : x
  2. Step 2: Convert to fraction form
    214,510.34/296,024.30 = 119,016.80/x
  3. Step 3: Cross multiply
    214,510.34x = 296,024.30 × 119,016.80
  4. Step 4: Simplify right side
    214,510.34x = 35,231,864,908.24
  5. Step 5: Solve for x
    x = 35,231,864,908.24/214,510.34
  6. Step 6: Final answer
    x = 164,243.20

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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.