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Finding the Fourth Proportional to 214,478.94, 296,016.35 and 119,016.39

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Solution

The fourth proportional to 214,478.94, 296,016.35 and 119,016.39 is: 164,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,478.94 : 296,016.35 = 119,016.39 : x
  2. Step 2: Convert to fraction form
    214,478.94/296,016.35 = 119,016.39/x
  3. Step 3: Cross multiply
    214,478.94x = 296,016.35 × 119,016.39
  4. Step 4: Simplify right side
    214,478.94x = 35,230,796,762.89
  5. Step 5: Solve for x
    x = 35,230,796,762.89/214,478.94
  6. Step 6: Final answer
    x = 164,262.27

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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.