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Finding the Fourth Proportional to 183,208.94, 274,769.21 and 76,535.28

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Solution

The fourth proportional to 183,208.94, 274,769.21 and 76,535.28 is: 114,784.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,208.94 : 274,769.21 = 76,535.28 : x
  2. Step 2: Convert to fraction form
    183,208.94/274,769.21 = 76,535.28/x
  3. Step 3: Cross multiply
    183,208.94x = 274,769.21 × 76,535.28
  4. Step 4: Simplify right side
    183,208.94x = 21,029,538,614.07
  5. Step 5: Solve for x
    x = 21,029,538,614.07/183,208.94
  6. Step 6: Final answer
    x = 114,784.46

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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.