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Finding the Fourth Proportional to 193,613.78, 290,410.22 and 60,478.76

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Solution

The fourth proportional to 193,613.78, 290,410.22 and 60,478.76 is: 90,714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,613.78 : 290,410.22 = 60,478.76 : x
  2. Step 2: Convert to fraction form
    193,613.78/290,410.22 = 60,478.76/x
  3. Step 3: Cross multiply
    193,613.78x = 290,410.22 × 60,478.76
  4. Step 4: Simplify right side
    193,613.78x = 17,563,649,996.93
  5. Step 5: Solve for x
    x = 17,563,649,996.93/193,613.78
  6. Step 6: Final answer
    x = 90,714.88

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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.