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Finding the Fourth Proportional to 120,496, 166,272.56 and 69,513.36

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Solution

The fourth proportional to 120,496, 166,272.56 and 69,513.36 is: 95,921.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,496 : 166,272.56 = 69,513.36 : x
  2. Step 2: Convert to fraction form
    120,496/166,272.56 = 69,513.36/x
  3. Step 3: Cross multiply
    120,496x = 166,272.56 × 69,513.36
  4. Step 4: Simplify right side
    120,496x = 11,558,164,321.40
  5. Step 5: Solve for x
    x = 11,558,164,321.40/120,496
  6. Step 6: Final answer
    x = 95,921.56

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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.