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Finding the Fourth Proportional to 198,527.76, 297,541.35 and 80,133.30

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Solution

The fourth proportional to 198,527.76, 297,541.35 and 80,133.30 is: 120,098.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,527.76 : 297,541.35 = 80,133.30 : x
  2. Step 2: Convert to fraction form
    198,527.76/297,541.35 = 80,133.30/x
  3. Step 3: Cross multiply
    198,527.76x = 297,541.35 × 80,133.30
  4. Step 4: Simplify right side
    198,527.76x = 23,842,970,261.96
  5. Step 5: Solve for x
    x = 23,842,970,261.96/198,527.76
  6. Step 6: Final answer
    x = 120,098.92

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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.