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Finding the Fourth Proportional to 123,665.94, 185,346.90 and 57,013.56

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Solution

The fourth proportional to 123,665.94, 185,346.90 and 57,013.56 is: 85,450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,665.94 : 185,346.90 = 57,013.56 : x
  2. Step 2: Convert to fraction form
    123,665.94/185,346.90 = 57,013.56/x
  3. Step 3: Cross multiply
    123,665.94x = 185,346.90 × 57,013.56
  4. Step 4: Simplify right side
    123,665.94x = 10,567,286,603.96
  5. Step 5: Solve for x
    x = 10,567,286,603.96/123,665.94
  6. Step 6: Final answer
    x = 85,450.26

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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.