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Finding the Fourth Proportional to 214,489.36, 296,009.34 and 123,849.15

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Solution

The fourth proportional to 214,489.36, 296,009.34 and 123,849.15 is: 170,919.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,489.36 : 296,009.34 = 123,849.15 : x
  2. Step 2: Convert to fraction form
    214,489.36/296,009.34 = 123,849.15/x
  3. Step 3: Cross multiply
    214,489.36x = 296,009.34 × 123,849.15
  4. Step 4: Simplify right side
    214,489.36x = 36,660,505,151.06
  5. Step 5: Solve for x
    x = 36,660,505,151.06/214,489.36
  6. Step 6: Final answer
    x = 170,919.92

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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.