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Finding the Fourth Proportional to 263,649.17, 363,836.41 and 145,777.22

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Solution

The fourth proportional to 263,649.17, 363,836.41 and 145,777.22 is: 201,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,649.17 : 363,836.41 = 145,777.22 : x
  2. Step 2: Convert to fraction form
    263,649.17/363,836.41 = 145,777.22/x
  3. Step 3: Cross multiply
    263,649.17x = 363,836.41 × 145,777.22
  4. Step 4: Simplify right side
    263,649.17x = 53,039,060,026.59
  5. Step 5: Solve for x
    x = 53,039,060,026.59/263,649.17
  6. Step 6: Final answer
    x = 201,172.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.