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Finding the Fourth Proportional to 214,458.93, 295,967.39 and 118,976.13

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Solution

The fourth proportional to 214,458.93, 295,967.39 and 118,976.13 is: 164,194.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,458.93 : 295,967.39 = 118,976.13 : x
  2. Step 2: Convert to fraction form
    214,458.93/295,967.39 = 118,976.13/x
  3. Step 3: Cross multiply
    214,458.93x = 295,967.39 × 118,976.13
  4. Step 4: Simplify right side
    214,458.93x = 35,213,054,668.40
  5. Step 5: Solve for x
    x = 35,213,054,668.40/214,458.93
  6. Step 6: Final answer
    x = 164,194.86

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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.