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Finding the Fourth Proportional to 132,092.98, 182,308.32 and 84,378.11

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Solution

The fourth proportional to 132,092.98, 182,308.32 and 84,378.11 is: 116,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,092.98 : 182,308.32 = 84,378.11 : x
  2. Step 2: Convert to fraction form
    132,092.98/182,308.32 = 84,378.11/x
  3. Step 3: Cross multiply
    132,092.98x = 182,308.32 × 84,378.11
  4. Step 4: Simplify right side
    132,092.98x = 15,382,830,567.33
  5. Step 5: Solve for x
    x = 15,382,830,567.33/132,092.98
  6. Step 6: Final answer
    x = 116,454.57

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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.