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Finding the Fourth Proportional to 214,776.60, 296,398.62 and 119,284.44

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Solution

The fourth proportional to 214,776.60, 296,398.62 and 119,284.44 is: 164,616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,776.60 : 296,398.62 = 119,284.44 : x
  2. Step 2: Convert to fraction form
    214,776.60/296,398.62 = 119,284.44/x
  3. Step 3: Cross multiply
    214,776.60x = 296,398.62 × 119,284.44
  4. Step 4: Simplify right side
    214,776.60x = 35,355,743,403.47
  5. Step 5: Solve for x
    x = 35,355,743,403.47/214,776.60
  6. Step 6: Final answer
    x = 164,616.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.