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Finding the Fourth Proportional to 214,301.39, 295,739.10 and 117,514.08

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Solution

The fourth proportional to 214,301.39, 295,739.10 and 117,514.08 is: 162,171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,301.39 : 295,739.10 = 117,514.08 : x
  2. Step 2: Convert to fraction form
    214,301.39/295,739.10 = 117,514.08/x
  3. Step 3: Cross multiply
    214,301.39x = 295,739.10 × 117,514.08
  4. Step 4: Simplify right side
    214,301.39x = 34,753,508,256.53
  5. Step 5: Solve for x
    x = 34,753,508,256.53/214,301.39
  6. Step 6: Final answer
    x = 162,171.18

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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.