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Finding the Fourth Proportional to 214,912.51, 296,573.37 and 119,416.75

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Solution

The fourth proportional to 214,912.51, 296,573.37 and 119,416.75 is: 164,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,912.51 : 296,573.37 = 119,416.75 : x
  2. Step 2: Convert to fraction form
    214,912.51/296,573.37 = 119,416.75/x
  3. Step 3: Cross multiply
    214,912.51x = 296,573.37 × 119,416.75
  4. Step 4: Simplify right side
    214,912.51x = 35,415,827,981.95
  5. Step 5: Solve for x
    x = 35,415,827,981.95/214,912.51
  6. Step 6: Final answer
    x = 164,791.84

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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.