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Finding the Fourth Proportional to 253,642.86, 380,346.44 and 95,770.62

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Solution

The fourth proportional to 253,642.86, 380,346.44 and 95,770.62 is: 143,611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,642.86 : 380,346.44 = 95,770.62 : x
  2. Step 2: Convert to fraction form
    253,642.86/380,346.44 = 95,770.62/x
  3. Step 3: Cross multiply
    253,642.86x = 380,346.44 × 95,770.62
  4. Step 4: Simplify right side
    253,642.86x = 36,426,013,894.74
  5. Step 5: Solve for x
    x = 36,426,013,894.74/253,642.86
  6. Step 6: Final answer
    x = 143,611.43

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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.