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Finding the Fourth Proportional to 230,641.44, 318,277.92 and 135,211.68

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Solution

The fourth proportional to 230,641.44, 318,277.92 and 135,211.68 is: 186,587.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,641.44 : 318,277.92 = 135,211.68 : x
  2. Step 2: Convert to fraction form
    230,641.44/318,277.92 = 135,211.68/x
  3. Step 3: Cross multiply
    230,641.44x = 318,277.92 × 135,211.68
  4. Step 4: Simplify right side
    230,641.44x = 43,034,892,270.11
  5. Step 5: Solve for x
    x = 43,034,892,270.11/230,641.44
  6. Step 6: Final answer
    x = 186,587.86

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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.