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Finding the Fourth Proportional to 215,988.36, 298,061.76 and 119,193

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Solution

The fourth proportional to 215,988.36, 298,061.76 and 119,193 is: 164,485.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,988.36 : 298,061.76 = 119,193 : x
  2. Step 2: Convert to fraction form
    215,988.36/298,061.76 = 119,193/x
  3. Step 3: Cross multiply
    215,988.36x = 298,061.76 × 119,193
  4. Step 4: Simplify right side
    215,988.36x = 35,526,875,359.68
  5. Step 5: Solve for x
    x = 35,526,875,359.68/215,988.36
  6. Step 6: Final answer
    x = 164,485.14

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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.