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Finding the Fourth Proportional to 295,776, 443,738.84 and 82,543.88

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Solution

The fourth proportional to 295,776, 443,738.84 and 82,543.88 is: 123,836.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,776 : 443,738.84 = 82,543.88 : x
  2. Step 2: Convert to fraction form
    295,776/443,738.84 = 82,543.88/x
  3. Step 3: Cross multiply
    295,776x = 443,738.84 × 82,543.88
  4. Step 4: Simplify right side
    295,776x = 36,627,922,928.89
  5. Step 5: Solve for x
    x = 36,627,922,928.89/295,776
  6. Step 6: Final answer
    x = 123,836.70

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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.