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Finding the Fourth Proportional to 197,753.55, 272,824.61 and 146,194.46

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Solution

The fourth proportional to 197,753.55, 272,824.61 and 146,194.46 is: 201,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,753.55 : 272,824.61 = 146,194.46 : x
  2. Step 2: Convert to fraction form
    197,753.55/272,824.61 = 146,194.46/x
  3. Step 3: Cross multiply
    197,753.55x = 272,824.61 × 146,194.46
  4. Step 4: Simplify right side
    197,753.55x = 39,885,445,078.00
  5. Step 5: Solve for x
    x = 39,885,445,078.00/197,753.55
  6. Step 6: Final answer
    x = 201,692.69

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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.