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Finding the Fourth Proportional to 132,696.84, 183,138.40 and 76,107

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Solution

The fourth proportional to 132,696.84, 183,138.40 and 76,107 is: 105,037.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,696.84 : 183,138.40 = 76,107 : x
  2. Step 2: Convert to fraction form
    132,696.84/183,138.40 = 76,107/x
  3. Step 3: Cross multiply
    132,696.84x = 183,138.40 × 76,107
  4. Step 4: Simplify right side
    132,696.84x = 13,938,114,208.80
  5. Step 5: Solve for x
    x = 13,938,114,208.80/132,696.84
  6. Step 6: Final answer
    x = 105,037.27

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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.