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Finding the Fourth Proportional to 242,511.84, 363,754.80 and 84,736.80

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Solution

The fourth proportional to 242,511.84, 363,754.80 and 84,736.80 is: 127,100.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,511.84 : 363,754.80 = 84,736.80 : x
  2. Step 2: Convert to fraction form
    242,511.84/363,754.80 = 84,736.80/x
  3. Step 3: Cross multiply
    242,511.84x = 363,754.80 × 84,736.80
  4. Step 4: Simplify right side
    242,511.84x = 30,823,417,736.64
  5. Step 5: Solve for x
    x = 30,823,417,736.64/242,511.84
  6. Step 6: Final answer
    x = 127,100.67

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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.