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Finding the Fourth Proportional to 123,869.94, 170,992.80 and 83,638.14

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Solution

The fourth proportional to 123,869.94, 170,992.80 and 83,638.14 is: 115,455.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,869.94 : 170,992.80 = 83,638.14 : x
  2. Step 2: Convert to fraction form
    123,869.94/170,992.80 = 83,638.14/x
  3. Step 3: Cross multiply
    123,869.94x = 170,992.80 × 83,638.14
  4. Step 4: Simplify right side
    123,869.94x = 14,301,519,745.39
  5. Step 5: Solve for x
    x = 14,301,519,745.39/123,869.94
  6. Step 6: Final answer
    x = 115,455.94

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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.