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Finding the Fourth Proportional to 193,459.56, 290,175.58 and 51,301.68

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Solution

The fourth proportional to 193,459.56, 290,175.58 and 51,301.68 is: 76,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,459.56 : 290,175.58 = 51,301.68 : x
  2. Step 2: Convert to fraction form
    193,459.56/290,175.58 = 51,301.68/x
  3. Step 3: Cross multiply
    193,459.56x = 290,175.58 × 51,301.68
  4. Step 4: Simplify right side
    193,459.56x = 14,886,494,748.97
  5. Step 5: Solve for x
    x = 14,886,494,748.97/193,459.56
  6. Step 6: Final answer
    x = 76,948.87

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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.