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Finding the Fourth Proportional to 119,118.32, 164,383.61 and 65,406.82

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Solution

The fourth proportional to 119,118.32, 164,383.61 and 65,406.82 is: 90,261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,118.32 : 164,383.61 = 65,406.82 : x
  2. Step 2: Convert to fraction form
    119,118.32/164,383.61 = 65,406.82/x
  3. Step 3: Cross multiply
    119,118.32x = 164,383.61 × 65,406.82
  4. Step 4: Simplify right side
    119,118.32x = 10,751,808,452.23
  5. Step 5: Solve for x
    x = 10,751,808,452.23/119,118.32
  6. Step 6: Final answer
    x = 90,261.58

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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.