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Finding the Fourth Proportional to 193,199.90, 289,766.64 and 51,046.70

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Solution

The fourth proportional to 193,199.90, 289,766.64 and 51,046.70 is: 76,561.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,199.90 : 289,766.64 = 51,046.70 : x
  2. Step 2: Convert to fraction form
    193,199.90/289,766.64 = 51,046.70/x
  3. Step 3: Cross multiply
    193,199.90x = 289,766.64 × 51,046.70
  4. Step 4: Simplify right side
    193,199.90x = 14,791,630,742.09
  5. Step 5: Solve for x
    x = 14,791,630,742.09/193,199.90
  6. Step 6: Final answer
    x = 76,561.28

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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.