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Finding the Fourth Proportional to 242,245.50, 363,371.49 and 76,033.50

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Solution

The fourth proportional to 242,245.50, 363,371.49 and 76,033.50 is: 114,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,245.50 : 363,371.49 = 76,033.50 : x
  2. Step 2: Convert to fraction form
    242,245.50/363,371.49 = 76,033.50/x
  3. Step 3: Cross multiply
    242,245.50x = 363,371.49 × 76,033.50
  4. Step 4: Simplify right side
    242,245.50x = 27,628,406,184.92
  5. Step 5: Solve for x
    x = 27,628,406,184.92/242,245.50
  6. Step 6: Final answer
    x = 114,051.27

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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.