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Finding the Fourth Proportional to 190,636.47, 285,861.56 and 78,286.64

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Solution

The fourth proportional to 190,636.47, 285,861.56 and 78,286.64 is: 117,391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,636.47 : 285,861.56 = 78,286.64 : x
  2. Step 2: Convert to fraction form
    190,636.47/285,861.56 = 78,286.64/x
  3. Step 3: Cross multiply
    190,636.47x = 285,861.56 × 78,286.64
  4. Step 4: Simplify right side
    190,636.47x = 22,379,139,216.82
  5. Step 5: Solve for x
    x = 22,379,139,216.82/190,636.47
  6. Step 6: Final answer
    x = 117,391.70

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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.