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Finding the Fourth Proportional to 208,954, 288,356.52 and 119,530

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Solution

The fourth proportional to 208,954, 288,356.52 and 119,530 is: 164,951.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,954 : 288,356.52 = 119,530 : x
  2. Step 2: Convert to fraction form
    208,954/288,356.52 = 119,530/x
  3. Step 3: Cross multiply
    208,954x = 288,356.52 × 119,530
  4. Step 4: Simplify right side
    208,954x = 34,467,254,835.60
  5. Step 5: Solve for x
    x = 34,467,254,835.60/208,954
  6. Step 6: Final answer
    x = 164,951.40

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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.