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Finding the Fourth Proportional to 242,111.25, 363,225.24 and 75,899.25

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Solution

The fourth proportional to 242,111.25, 363,225.24 and 75,899.25 is: 113,867.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,111.25 : 363,225.24 = 75,899.25 : x
  2. Step 2: Convert to fraction form
    242,111.25/363,225.24 = 75,899.25/x
  3. Step 3: Cross multiply
    242,111.25x = 363,225.24 × 75,899.25
  4. Step 4: Simplify right side
    242,111.25x = 27,568,523,297.07
  5. Step 5: Solve for x
    x = 27,568,523,297.07/242,111.25
  6. Step 6: Final answer
    x = 113,867.17

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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.