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Finding the Fourth Proportional to 123,980.88, 185,923.44 and 52,858.56

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Solution

The fourth proportional to 123,980.88, 185,923.44 and 52,858.56 is: 79,267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,980.88 : 185,923.44 = 52,858.56 : x
  2. Step 2: Convert to fraction form
    123,980.88/185,923.44 = 52,858.56/x
  3. Step 3: Cross multiply
    123,980.88x = 185,923.44 × 52,858.56
  4. Step 4: Simplify right side
    123,980.88x = 9,827,645,308.65
  5. Step 5: Solve for x
    x = 9,827,645,308.65/123,980.88
  6. Step 6: Final answer
    x = 79,267.43

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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.