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Finding the Fourth Proportional to 214,856.73, 296,509.05 and 119,371.05

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Solution

The fourth proportional to 214,856.73, 296,509.05 and 119,371.05 is: 164,735.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,856.73 : 296,509.05 = 119,371.05 : x
  2. Step 2: Convert to fraction form
    214,856.73/296,509.05 = 119,371.05/x
  3. Step 3: Cross multiply
    214,856.73x = 296,509.05 × 119,371.05
  4. Step 4: Simplify right side
    214,856.73x = 35,394,596,633.00
  5. Step 5: Solve for x
    x = 35,394,596,633.00/214,856.73
  6. Step 6: Final answer
    x = 164,735.81

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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.