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Finding the Fourth Proportional to 132,801.36, 183,258.81 and 76,209

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Solution

The fourth proportional to 132,801.36, 183,258.81 and 76,209 is: 105,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,801.36 : 183,258.81 = 76,209 : x
  2. Step 2: Convert to fraction form
    132,801.36/183,258.81 = 76,209/x
  3. Step 3: Cross multiply
    132,801.36x = 183,258.81 × 76,209
  4. Step 4: Simplify right side
    132,801.36x = 13,965,970,651.29
  5. Step 5: Solve for x
    x = 13,965,970,651.29/132,801.36
  6. Step 6: Final answer
    x = 105,164.36

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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.