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Finding the Fourth Proportional to 214,698.69, 296,293.44 and 119,205.39

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Solution

The fourth proportional to 214,698.69, 296,293.44 and 119,205.39 is: 164,508.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,698.69 : 296,293.44 = 119,205.39 : x
  2. Step 2: Convert to fraction form
    214,698.69/296,293.44 = 119,205.39/x
  3. Step 3: Cross multiply
    214,698.69x = 296,293.44 × 119,205.39
  4. Step 4: Simplify right side
    214,698.69x = 35,319,775,069.64
  5. Step 5: Solve for x
    x = 35,319,775,069.64/214,698.69
  6. Step 6: Final answer
    x = 164,508.57

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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.