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Finding the Fourth Proportional to 122,796.56, 183,883.80 and 75,907.28

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Solution

The fourth proportional to 122,796.56, 183,883.80 and 75,907.28 is: 113,668.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,796.56 : 183,883.80 = 75,907.28 : x
  2. Step 2: Convert to fraction form
    122,796.56/183,883.80 = 75,907.28/x
  3. Step 3: Cross multiply
    122,796.56x = 183,883.80 × 75,907.28
  4. Step 4: Simplify right side
    122,796.56x = 13,958,119,094.06
  5. Step 5: Solve for x
    x = 13,958,119,094.06/122,796.56
  6. Step 6: Final answer
    x = 113,668.65

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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.