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Finding the Fourth Proportional to 208,850.40, 288,212.58 and 113,356.26

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Solution

The fourth proportional to 208,850.40, 288,212.58 and 113,356.26 is: 156,431.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,850.40 : 288,212.58 = 113,356.26 : x
  2. Step 2: Convert to fraction form
    208,850.40/288,212.58 = 113,356.26/x
  3. Step 3: Cross multiply
    208,850.40x = 288,212.58 × 113,356.26
  4. Step 4: Simplify right side
    208,850.40x = 32,670,700,153.75
  5. Step 5: Solve for x
    x = 32,670,700,153.75/208,850.40
  6. Step 6: Final answer
    x = 156,431.11

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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.