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Finding the Fourth Proportional to 193,094.86, 289,265.22 and 91,748.68

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Solution

The fourth proportional to 193,094.86, 289,265.22 and 91,748.68 is: 137,443.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,094.86 : 289,265.22 = 91,748.68 : x
  2. Step 2: Convert to fraction form
    193,094.86/289,265.22 = 91,748.68/x
  3. Step 3: Cross multiply
    193,094.86x = 289,265.22 × 91,748.68
  4. Step 4: Simplify right side
    193,094.86x = 26,539,702,104.91
  5. Step 5: Solve for x
    x = 26,539,702,104.91/193,094.86
  6. Step 6: Final answer
    x = 137,443.86

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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.