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Finding the Fourth Proportional to 214,497.72, 295,993.98 and 118,998.72

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Solution

The fourth proportional to 214,497.72, 295,993.98 and 118,998.72 is: 164,211.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,497.72 : 295,993.98 = 118,998.72 : x
  2. Step 2: Convert to fraction form
    214,497.72/295,993.98 = 118,998.72/x
  3. Step 3: Cross multiply
    214,497.72x = 295,993.98 × 118,998.72
  4. Step 4: Simplify right side
    214,497.72x = 35,222,904,747.71
  5. Step 5: Solve for x
    x = 35,222,904,747.71/214,497.72
  6. Step 6: Final answer
    x = 164,211.09

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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.