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Finding the Fourth Proportional to 273,049.84, 409,562 and 95,596.64

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Solution

The fourth proportional to 273,049.84, 409,562 and 95,596.64 is: 143,390.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,049.84 : 409,562 = 95,596.64 : x
  2. Step 2: Convert to fraction form
    273,049.84/409,562 = 95,596.64/x
  3. Step 3: Cross multiply
    273,049.84x = 409,562 × 95,596.64
  4. Step 4: Simplify right side
    273,049.84x = 39,152,751,071.68
  5. Step 5: Solve for x
    x = 39,152,751,071.68/273,049.84
  6. Step 6: Final answer
    x = 143,390.49

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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.