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Finding the Fourth Proportional to 208,745.42, 288,049.28 and 118,108.24

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Solution

The fourth proportional to 208,745.42, 288,049.28 and 118,108.24 is: 162,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,745.42 : 288,049.28 = 118,108.24 : x
  2. Step 2: Convert to fraction form
    208,745.42/288,049.28 = 118,108.24/x
  3. Step 3: Cross multiply
    208,745.42x = 288,049.28 × 118,108.24
  4. Step 4: Simplify right side
    208,745.42x = 34,020,993,494.07
  5. Step 5: Solve for x
    x = 34,020,993,494.07/208,745.42
  6. Step 6: Final answer
    x = 162,978.39

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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.