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Finding the Fourth Proportional to 120,743.36, 166,592 and 75,467.36

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Solution

The fourth proportional to 120,743.36, 166,592 and 75,467.36 is: 104,123.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,743.36 : 166,592 = 75,467.36 : x
  2. Step 2: Convert to fraction form
    120,743.36/166,592 = 75,467.36/x
  3. Step 3: Cross multiply
    120,743.36x = 166,592 × 75,467.36
  4. Step 4: Simplify right side
    120,743.36x = 12,572,258,437.12
  5. Step 5: Solve for x
    x = 12,572,258,437.12/120,743.36
  6. Step 6: Final answer
    x = 104,123.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.