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Finding the Fourth Proportional to 208,821.33, 288,173.58 and 113,328

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Solution

The fourth proportional to 208,821.33, 288,173.58 and 113,328 is: 156,392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,821.33 : 288,173.58 = 113,328 : x
  2. Step 2: Convert to fraction form
    208,821.33/288,173.58 = 113,328/x
  3. Step 3: Cross multiply
    208,821.33x = 288,173.58 × 113,328
  4. Step 4: Simplify right side
    208,821.33x = 32,658,135,474.24
  5. Step 5: Solve for x
    x = 32,658,135,474.24/208,821.33
  6. Step 6: Final answer
    x = 156,392.72

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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.