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Finding the Fourth Proportional to 214,481.70, 296,020.20 and 119,019.15

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Solution

The fourth proportional to 214,481.70, 296,020.20 and 119,019.15 is: 164,266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,481.70 : 296,020.20 = 119,019.15 : x
  2. Step 2: Convert to fraction form
    214,481.70/296,020.20 = 119,019.15/x
  3. Step 3: Cross multiply
    214,481.70x = 296,020.20 × 119,019.15
  4. Step 4: Simplify right side
    214,481.70x = 35,232,072,586.83
  5. Step 5: Solve for x
    x = 35,232,072,586.83/214,481.70
  6. Step 6: Final answer
    x = 164,266.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.