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Finding the Fourth Proportional to 253,225.88, 379,663.86 and 111,002.84

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Solution

The fourth proportional to 253,225.88, 379,663.86 and 111,002.84 is: 166,427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,225.88 : 379,663.86 = 111,002.84 : x
  2. Step 2: Convert to fraction form
    253,225.88/379,663.86 = 111,002.84/x
  3. Step 3: Cross multiply
    253,225.88x = 379,663.86 × 111,002.84
  4. Step 4: Simplify right side
    253,225.88x = 42,143,766,705.36
  5. Step 5: Solve for x
    x = 42,143,766,705.36/253,225.88
  6. Step 6: Final answer
    x = 166,427.57

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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.