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Finding the Fourth Proportional to 208,522.96, 287,766.03 and 117,873.52

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Solution

The fourth proportional to 208,522.96, 287,766.03 and 117,873.52 is: 162,667.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,522.96 : 287,766.03 = 117,873.52 : x
  2. Step 2: Convert to fraction form
    208,522.96/287,766.03 = 117,873.52/x
  3. Step 3: Cross multiply
    208,522.96x = 287,766.03 × 117,873.52
  4. Step 4: Simplify right side
    208,522.96x = 33,919,994,892.53
  5. Step 5: Solve for x
    x = 33,919,994,892.53/208,522.96
  6. Step 6: Final answer
    x = 162,667.91

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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.