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Finding the Fourth Proportional to 120,354.08, 166,090.38 and 69,338.66

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Solution

The fourth proportional to 120,354.08, 166,090.38 and 69,338.66 is: 95,688.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,354.08 : 166,090.38 = 69,338.66 : x
  2. Step 2: Convert to fraction form
    120,354.08/166,090.38 = 69,338.66/x
  3. Step 3: Cross multiply
    120,354.08x = 166,090.38 × 69,338.66
  4. Step 4: Simplify right side
    120,354.08x = 11,516,484,388.09
  5. Step 5: Solve for x
    x = 11,516,484,388.09/120,354.08
  6. Step 6: Final answer
    x = 95,688.36

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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.