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Finding the Fourth Proportional to 108,180, 162,295.92 and 34,308

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Solution

The fourth proportional to 108,180, 162,295.92 and 34,308 is: 51,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,180 : 162,295.92 = 34,308 : x
  2. Step 2: Convert to fraction form
    108,180/162,295.92 = 34,308/x
  3. Step 3: Cross multiply
    108,180x = 162,295.92 × 34,308
  4. Step 4: Simplify right side
    108,180x = 5,568,048,423.36
  5. Step 5: Solve for x
    x = 5,568,048,423.36/108,180
  6. Step 6: Final answer
    x = 51,470.22

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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.