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Finding the Fourth Proportional to 208,522.46, 287,765.34 and 117,873.02

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Solution

The fourth proportional to 208,522.46, 287,765.34 and 117,873.02 is: 162,667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,522.46 : 287,765.34 = 117,873.02 : x
  2. Step 2: Convert to fraction form
    208,522.46/287,765.34 = 117,873.02/x
  3. Step 3: Cross multiply
    208,522.46x = 287,765.34 × 117,873.02
  4. Step 4: Simplify right side
    208,522.46x = 33,919,769,677.13
  5. Step 5: Solve for x
    x = 33,919,769,677.13/208,522.46
  6. Step 6: Final answer
    x = 162,667.22

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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.