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Finding the Fourth Proportional to 205,115.68, 283,050.48 and 114,466.72

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Solution

The fourth proportional to 205,115.68, 283,050.48 and 114,466.72 is: 157,958.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,115.68 : 283,050.48 = 114,466.72 : x
  2. Step 2: Convert to fraction form
    205,115.68/283,050.48 = 114,466.72/x
  3. Step 3: Cross multiply
    205,115.68x = 283,050.48 × 114,466.72
  4. Step 4: Simplify right side
    205,115.68x = 32,399,860,040.03
  5. Step 5: Solve for x
    x = 32,399,860,040.03/205,115.68
  6. Step 6: Final answer
    x = 157,958.96

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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.