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Finding the Fourth Proportional to 258,900, 388,374.48 and 90,450.72

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Solution

The fourth proportional to 258,900, 388,374.48 and 90,450.72 is: 135,684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,900 : 388,374.48 = 90,450.72 : x
  2. Step 2: Convert to fraction form
    258,900/388,374.48 = 90,450.72/x
  3. Step 3: Cross multiply
    258,900x = 388,374.48 × 90,450.72
  4. Step 4: Simplify right side
    258,900x = 35,128,751,345.63
  5. Step 5: Solve for x
    x = 35,128,751,345.63/258,900
  6. Step 6: Final answer
    x = 135,684.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.