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Finding the Fourth Proportional to 155,751.21, 214,936.76 and 84,131.24

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Solution

The fourth proportional to 155,751.21, 214,936.76 and 84,131.24 is: 116,101.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,751.21 : 214,936.76 = 84,131.24 : x
  2. Step 2: Convert to fraction form
    155,751.21/214,936.76 = 84,131.24/x
  3. Step 3: Cross multiply
    155,751.21x = 214,936.76 × 84,131.24
  4. Step 4: Simplify right side
    155,751.21x = 18,082,896,140.38
  5. Step 5: Solve for x
    x = 18,082,896,140.38/155,751.21
  6. Step 6: Final answer
    x = 116,101.16

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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.