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Finding the Fourth Proportional to 108,178.26, 162,248.67 and 29,274.06

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Solution

The fourth proportional to 108,178.26, 162,248.67 and 29,274.06 is: 43,906.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,178.26 : 162,248.67 = 29,274.06 : x
  2. Step 2: Convert to fraction form
    108,178.26/162,248.67 = 29,274.06/x
  3. Step 3: Cross multiply
    108,178.26x = 162,248.67 × 29,274.06
  4. Step 4: Simplify right side
    108,178.26x = 4,749,677,300.50
  5. Step 5: Solve for x
    x = 4,749,677,300.50/108,178.26
  6. Step 6: Final answer
    x = 43,906.02

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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.