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Finding the Fourth Proportional to 108,234, 162,353.43 and 37,156.50

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Solution

The fourth proportional to 108,234, 162,353.43 and 37,156.50 is: 55,735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,234 : 162,353.43 = 37,156.50 : x
  2. Step 2: Convert to fraction form
    108,234/162,353.43 = 37,156.50/x
  3. Step 3: Cross multiply
    108,234x = 162,353.43 × 37,156.50
  4. Step 4: Simplify right side
    108,234x = 6,032,485,221.80
  5. Step 5: Solve for x
    x = 6,032,485,221.80/108,234
  6. Step 6: Final answer
    x = 55,735.58

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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.