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Finding the Fourth Proportional to 214,705.96, 296,285.25 and 119,206.96

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Solution

The fourth proportional to 214,705.96, 296,285.25 and 119,206.96 is: 164,500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,705.96 : 296,285.25 = 119,206.96 : x
  2. Step 2: Convert to fraction form
    214,705.96/296,285.25 = 119,206.96/x
  3. Step 3: Cross multiply
    214,705.96x = 296,285.25 × 119,206.96
  4. Step 4: Simplify right side
    214,705.96x = 35,319,263,945.34
  5. Step 5: Solve for x
    x = 35,319,263,945.34/214,705.96
  6. Step 6: Final answer
    x = 164,500.62

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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.