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Finding the Fourth Proportional to 208,544.93, 287,903.67 and 163,126.41

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Solution

The fourth proportional to 208,544.93, 287,903.67 and 163,126.41 is: 225,201.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,544.93 : 287,903.67 = 163,126.41 : x
  2. Step 2: Convert to fraction form
    208,544.93/287,903.67 = 163,126.41/x
  3. Step 3: Cross multiply
    208,544.93x = 287,903.67 × 163,126.41
  4. Step 4: Simplify right side
    208,544.93x = 46,964,690,421.56
  5. Step 5: Solve for x
    x = 46,964,690,421.56/208,544.93
  6. Step 6: Final answer
    x = 225,201.79

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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.