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Finding the Fourth Proportional to 214,713.33, 296,313.44 and 119,228.91

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Solution

The fourth proportional to 214,713.33, 296,313.44 and 119,228.91 is: 164,540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,713.33 : 296,313.44 = 119,228.91 : x
  2. Step 2: Convert to fraction form
    214,713.33/296,313.44 = 119,228.91/x
  3. Step 3: Cross multiply
    214,713.33x = 296,313.44 × 119,228.91
  4. Step 4: Simplify right side
    214,713.33x = 35,329,127,873.41
  5. Step 5: Solve for x
    x = 35,329,127,873.41/214,713.33
  6. Step 6: Final answer
    x = 164,540.92

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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.