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Finding the Fourth Proportional to 116,465.34, 174,696.60 and 82,129.68

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Solution

The fourth proportional to 116,465.34, 174,696.60 and 82,129.68 is: 123,193.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,465.34 : 174,696.60 = 82,129.68 : x
  2. Step 2: Convert to fraction form
    116,465.34/174,696.60 = 82,129.68/x
  3. Step 3: Cross multiply
    116,465.34x = 174,696.60 × 82,129.68
  4. Step 4: Simplify right side
    116,465.34x = 14,347,775,855.09
  5. Step 5: Solve for x
    x = 14,347,775,855.09/116,465.34
  6. Step 6: Final answer
    x = 123,193.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.