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Finding the Fourth Proportional to 132,146.91, 182,364.09 and 71,718.09

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Solution

The fourth proportional to 132,146.91, 182,364.09 and 71,718.09 is: 98,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,146.91 : 182,364.09 = 71,718.09 : x
  2. Step 2: Convert to fraction form
    132,146.91/182,364.09 = 71,718.09/x
  3. Step 3: Cross multiply
    132,146.91x = 182,364.09 × 71,718.09
  4. Step 4: Simplify right side
    132,146.91x = 13,078,804,219.39
  5. Step 5: Solve for x
    x = 13,078,804,219.39/132,146.91
  6. Step 6: Final answer
    x = 98,971.70

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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.