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Finding the Fourth Proportional to 119,288, 164,617.44 and 69,016.16

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Solution

The fourth proportional to 119,288, 164,617.44 and 69,016.16 is: 95,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,288 : 164,617.44 = 69,016.16 : x
  2. Step 2: Convert to fraction form
    119,288/164,617.44 = 69,016.16/x
  3. Step 3: Cross multiply
    119,288x = 164,617.44 × 69,016.16
  4. Step 4: Simplify right side
    119,288x = 11,361,263,577.83
  5. Step 5: Solve for x
    x = 11,361,263,577.83/119,288
  6. Step 6: Final answer
    x = 95,242.30

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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.