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Finding the Fourth Proportional to 242,297.64, 363,448.44 and 84,525.84

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Solution

The fourth proportional to 242,297.64, 363,448.44 and 84,525.84 is: 126,789.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,297.64 : 363,448.44 = 84,525.84 : x
  2. Step 2: Convert to fraction form
    242,297.64/363,448.44 = 84,525.84/x
  3. Step 3: Cross multiply
    242,297.64x = 363,448.44 × 84,525.84
  4. Step 4: Simplify right side
    242,297.64x = 30,720,784,687.69
  5. Step 5: Solve for x
    x = 30,720,784,687.69/242,297.64
  6. Step 6: Final answer
    x = 126,789.45

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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.