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Finding the Fourth Proportional to 193,161.20, 289,741.80 and 165,513.20

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Solution

The fourth proportional to 193,161.20, 289,741.80 and 165,513.20 is: 248,269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,161.20 : 289,741.80 = 165,513.20 : x
  2. Step 2: Convert to fraction form
    193,161.20/289,741.80 = 165,513.20/x
  3. Step 3: Cross multiply
    193,161.20x = 289,741.80 × 165,513.20
  4. Step 4: Simplify right side
    193,161.20x = 47,956,092,491.76
  5. Step 5: Solve for x
    x = 47,956,092,491.76/193,161.20
  6. Step 6: Final answer
    x = 248,269.80

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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.