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Finding the Fourth Proportional to 228,675.45, 315,471.60 and 137,980.83

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Solution

The fourth proportional to 228,675.45, 315,471.60 and 137,980.83 is: 190,352.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,675.45 : 315,471.60 = 137,980.83 : x
  2. Step 2: Convert to fraction form
    228,675.45/315,471.60 = 137,980.83/x
  3. Step 3: Cross multiply
    228,675.45x = 315,471.60 × 137,980.83
  4. Step 4: Simplify right side
    228,675.45x = 43,529,033,209.43
  5. Step 5: Solve for x
    x = 43,529,033,209.43/228,675.45
  6. Step 6: Final answer
    x = 190,352.89

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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.