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Finding the Fourth Proportional to 208,054.44, 287,409.06 and 165,558.60

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Solution

The fourth proportional to 208,054.44, 287,409.06 and 165,558.60 is: 228,704.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,054.44 : 287,409.06 = 165,558.60 : x
  2. Step 2: Convert to fraction form
    208,054.44/287,409.06 = 165,558.60/x
  3. Step 3: Cross multiply
    208,054.44x = 287,409.06 × 165,558.60
  4. Step 4: Simplify right side
    208,054.44x = 47,583,041,600.92
  5. Step 5: Solve for x
    x = 47,583,041,600.92/208,054.44
  6. Step 6: Final answer
    x = 228,704.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.