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Finding the Fourth Proportional to 132,146.90, 182,364.06 and 71,718.08

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Solution

The fourth proportional to 132,146.90, 182,364.06 and 71,718.08 is: 98,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,146.90 : 182,364.06 = 71,718.08 : x
  2. Step 2: Convert to fraction form
    132,146.90/182,364.06 = 71,718.08/x
  3. Step 3: Cross multiply
    132,146.90x = 182,364.06 × 71,718.08
  4. Step 4: Simplify right side
    132,146.90x = 13,078,800,244.20
  5. Step 5: Solve for x
    x = 13,078,800,244.20/132,146.90
  6. Step 6: Final answer
    x = 98,971.68

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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.