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Finding the Fourth Proportional to 242,850.53, 364,055.27 and 84,992.87

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Solution

The fourth proportional to 242,850.53, 364,055.27 and 84,992.87 is: 127,412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,850.53 : 364,055.27 = 84,992.87 : x
  2. Step 2: Convert to fraction form
    242,850.53/364,055.27 = 84,992.87/x
  3. Step 3: Cross multiply
    242,850.53x = 364,055.27 × 84,992.87
  4. Step 4: Simplify right side
    242,850.53x = 30,942,100,832.65
  5. Step 5: Solve for x
    x = 30,942,100,832.65/242,850.53
  6. Step 6: Final answer
    x = 127,412.12

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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.