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Finding the Fourth Proportional to 301,082.94, 451,625.20 and 101,543.49

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Solution

The fourth proportional to 301,082.94, 451,625.20 and 101,543.49 is: 152,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,082.94 : 451,625.20 = 101,543.49 : x
  2. Step 2: Convert to fraction form
    301,082.94/451,625.20 = 101,543.49/x
  3. Step 3: Cross multiply
    301,082.94x = 451,625.20 × 101,543.49
  4. Step 4: Simplify right side
    301,082.94x = 45,859,598,979.95
  5. Step 5: Solve for x
    x = 45,859,598,979.95/301,082.94
  6. Step 6: Final answer
    x = 152,315.50

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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.