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Finding the Fourth Proportional to 183,276.32, 274,447.80 and 120,757.28

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Solution

The fourth proportional to 183,276.32, 274,447.80 and 120,757.28 is: 180,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,276.32 : 274,447.80 = 120,757.28 : x
  2. Step 2: Convert to fraction form
    183,276.32/274,447.80 = 120,757.28/x
  3. Step 3: Cross multiply
    183,276.32x = 274,447.80 × 120,757.28
  4. Step 4: Simplify right side
    183,276.32x = 33,141,569,829.98
  5. Step 5: Solve for x
    x = 33,141,569,829.98/183,276.32
  6. Step 6: Final answer
    x = 180,828.43

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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.