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Finding the Fourth Proportional to 85,325.43, 117,781.38 and 64,165.80

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Solution

The fourth proportional to 85,325.43, 117,781.38 and 64,165.80 is: 88,573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,325.43 : 117,781.38 = 64,165.80 : x
  2. Step 2: Convert to fraction form
    85,325.43/117,781.38 = 64,165.80/x
  3. Step 3: Cross multiply
    85,325.43x = 117,781.38 × 64,165.80
  4. Step 4: Simplify right side
    85,325.43x = 7,557,536,472.80
  5. Step 5: Solve for x
    x = 7,557,536,472.80/85,325.43
  6. Step 6: Final answer
    x = 88,573.08

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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.