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Finding the Fourth Proportional to 218,742.96, 301,893.12 and 123,273.12

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Solution

The fourth proportional to 218,742.96, 301,893.12 and 123,273.12 is: 170,132.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,742.96 : 301,893.12 = 123,273.12 : x
  2. Step 2: Convert to fraction form
    218,742.96/301,893.12 = 123,273.12/x
  3. Step 3: Cross multiply
    218,742.96x = 301,893.12 × 123,273.12
  4. Step 4: Simplify right side
    218,742.96x = 37,215,306,808.93
  5. Step 5: Solve for x
    x = 37,215,306,808.93/218,742.96
  6. Step 6: Final answer
    x = 170,132.59

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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.