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Finding the Fourth Proportional to 214,511.51, 296,025.92 and 119,017.97

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Solution

The fourth proportional to 214,511.51, 296,025.92 and 119,017.97 is: 164,244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,511.51 : 296,025.92 = 119,017.97 : x
  2. Step 2: Convert to fraction form
    214,511.51/296,025.92 = 119,017.97/x
  3. Step 3: Cross multiply
    214,511.51x = 296,025.92 × 119,017.97
  4. Step 4: Simplify right side
    214,511.51x = 35,232,405,881.60
  5. Step 5: Solve for x
    x = 35,232,405,881.60/214,511.51
  6. Step 6: Final answer
    x = 164,244.83

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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.