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Finding the Fourth Proportional to 119,116.62, 164,384.46 and 65,405.34

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Solution

The fourth proportional to 119,116.62, 164,384.46 and 65,405.34 is: 90,261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,116.62 : 164,384.46 = 65,405.34 : x
  2. Step 2: Convert to fraction form
    119,116.62/164,384.46 = 65,405.34/x
  3. Step 3: Cross multiply
    119,116.62x = 164,384.46 × 65,405.34
  4. Step 4: Simplify right side
    119,116.62x = 10,751,621,497.02
  5. Step 5: Solve for x
    x = 10,751,621,497.02/119,116.62
  6. Step 6: Final answer
    x = 90,261.30

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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.