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Finding the Fourth Proportional to 230,817.09, 318,580.71 and 135,354.54

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Solution

The fourth proportional to 230,817.09, 318,580.71 and 135,354.54 is: 186,820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,817.09 : 318,580.71 = 135,354.54 : x
  2. Step 2: Convert to fraction form
    230,817.09/318,580.71 = 135,354.54/x
  3. Step 3: Cross multiply
    230,817.09x = 318,580.71 × 135,354.54
  4. Step 4: Simplify right side
    230,817.09x = 43,121,345,454.92
  5. Step 5: Solve for x
    x = 43,121,345,454.92/230,817.09
  6. Step 6: Final answer
    x = 186,820.42

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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.