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Finding the Fourth Proportional to 132,164.64, 182,386.74 and 71,735.29

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Solution

The fourth proportional to 132,164.64, 182,386.74 and 71,735.29 is: 98,994.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,164.64 : 182,386.74 = 71,735.29 : x
  2. Step 2: Convert to fraction form
    132,164.64/182,386.74 = 71,735.29/x
  3. Step 3: Cross multiply
    132,164.64x = 182,386.74 × 71,735.29
  4. Step 4: Simplify right side
    132,164.64x = 13,083,565,686.05
  5. Step 5: Solve for x
    x = 13,083,565,686.05/132,164.64
  6. Step 6: Final answer
    x = 98,994.45

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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.