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Finding the Fourth Proportional to 123,874.86, 170,972.19 and 73,564.14

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Solution

The fourth proportional to 123,874.86, 170,972.19 and 73,564.14 is: 101,533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,874.86 : 170,972.19 = 73,564.14 : x
  2. Step 2: Convert to fraction form
    123,874.86/170,972.19 = 73,564.14/x
  3. Step 3: Cross multiply
    123,874.86x = 170,972.19 × 73,564.14
  4. Step 4: Simplify right side
    123,874.86x = 12,577,422,121.27
  5. Step 5: Solve for x
    x = 12,577,422,121.27/123,874.86
  6. Step 6: Final answer
    x = 101,533.29

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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.