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Finding the Fourth Proportional to 132,146.69, 182,362.52 and 71,717.31

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Solution

The fourth proportional to 132,146.69, 182,362.52 and 71,717.31 is: 98,969.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,146.69 : 182,362.52 = 71,717.31 : x
  2. Step 2: Convert to fraction form
    132,146.69/182,362.52 = 71,717.31/x
  3. Step 3: Cross multiply
    132,146.69x = 182,362.52 × 71,717.31
  4. Step 4: Simplify right side
    132,146.69x = 13,078,549,379.22
  5. Step 5: Solve for x
    x = 13,078,549,379.22/132,146.69
  6. Step 6: Final answer
    x = 98,969.94

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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.