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Finding the Fourth Proportional to 120,410.78, 166,009.32 and 103,595.63

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Solution

The fourth proportional to 120,410.78, 166,009.32 and 103,595.63 is: 142,826.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,410.78 : 166,009.32 = 103,595.63 : x
  2. Step 2: Convert to fraction form
    120,410.78/166,009.32 = 103,595.63/x
  3. Step 3: Cross multiply
    120,410.78x = 166,009.32 × 103,595.63
  4. Step 4: Simplify right side
    120,410.78x = 17,197,839,261.23
  5. Step 5: Solve for x
    x = 17,197,839,261.23/120,410.78
  6. Step 6: Final answer
    x = 142,826.41

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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.