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Finding the Fourth Proportional to 120,100.16, 165,754.68 and 69,111.84

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Solution

The fourth proportional to 120,100.16, 165,754.68 and 69,111.84 is: 95,383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,100.16 : 165,754.68 = 69,111.84 : x
  2. Step 2: Convert to fraction form
    120,100.16/165,754.68 = 69,111.84/x
  3. Step 3: Cross multiply
    120,100.16x = 165,754.68 × 69,111.84
  4. Step 4: Simplify right side
    120,100.16x = 11,455,610,923.41
  5. Step 5: Solve for x
    x = 11,455,610,923.41/120,100.16
  6. Step 6: Final answer
    x = 95,383.81

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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.