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Finding the Fourth Proportional to 203,849.84, 305,884.74 and 119,774.28

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Solution

The fourth proportional to 203,849.84, 305,884.74 and 119,774.28 is: 179,726.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,849.84 : 305,884.74 = 119,774.28 : x
  2. Step 2: Convert to fraction form
    203,849.84/305,884.74 = 119,774.28/x
  3. Step 3: Cross multiply
    203,849.84x = 305,884.74 × 119,774.28
  4. Step 4: Simplify right side
    203,849.84x = 36,637,124,496.49
  5. Step 5: Solve for x
    x = 36,637,124,496.49/203,849.84
  6. Step 6: Final answer
    x = 179,726.04

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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.