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Finding the Fourth Proportional to 199,202.61, 274,899.65 and 108,558.60

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Solution

The fourth proportional to 199,202.61, 274,899.65 and 108,558.60 is: 149,810.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,202.61 : 274,899.65 = 108,558.60 : x
  2. Step 2: Convert to fraction form
    199,202.61/274,899.65 = 108,558.60/x
  3. Step 3: Cross multiply
    199,202.61x = 274,899.65 × 108,558.60
  4. Step 4: Simplify right side
    199,202.61x = 29,842,721,144.49
  5. Step 5: Solve for x
    x = 29,842,721,144.49/199,202.61
  6. Step 6: Final answer
    x = 149,810.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.