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Finding the Fourth Proportional to 208,438.12, 287,683.38 and 119,014.12

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Solution

The fourth proportional to 208,438.12, 287,683.38 and 119,014.12 is: 164,261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,438.12 : 287,683.38 = 119,014.12 : x
  2. Step 2: Convert to fraction form
    208,438.12/287,683.38 = 119,014.12/x
  3. Step 3: Cross multiply
    208,438.12x = 287,683.38 × 119,014.12
  4. Step 4: Simplify right side
    208,438.12x = 34,238,384,309.33
  5. Step 5: Solve for x
    x = 34,238,384,309.33/208,438.12
  6. Step 6: Final answer
    x = 164,261.63

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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.