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Finding the Fourth Proportional to 132,221.82, 182,405.07 and 78,476.34

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Solution

The fourth proportional to 132,221.82, 182,405.07 and 78,476.34 is: 108,261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,221.82 : 182,405.07 = 78,476.34 : x
  2. Step 2: Convert to fraction form
    132,221.82/182,405.07 = 78,476.34/x
  3. Step 3: Cross multiply
    132,221.82x = 182,405.07 × 78,476.34
  4. Step 4: Simplify right side
    132,221.82x = 14,314,482,291.04
  5. Step 5: Solve for x
    x = 14,314,482,291.04/132,221.82
  6. Step 6: Final answer
    x = 108,261.12

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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.