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Finding the Fourth Proportional to 189,862.14, 261,992.16 and 104,977.38

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Solution

The fourth proportional to 189,862.14, 261,992.16 and 104,977.38 is: 144,859.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,862.14 : 261,992.16 = 104,977.38 : x
  2. Step 2: Convert to fraction form
    189,862.14/261,992.16 = 104,977.38/x
  3. Step 3: Cross multiply
    189,862.14x = 261,992.16 × 104,977.38
  4. Step 4: Simplify right side
    189,862.14x = 27,503,250,537.34
  5. Step 5: Solve for x
    x = 27,503,250,537.34/189,862.14
  6. Step 6: Final answer
    x = 144,859.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.