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Finding the Fourth Proportional to 198,532.40, 297,769.80 and 58,276.40

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Solution

The fourth proportional to 198,532.40, 297,769.80 and 58,276.40 is: 87,406.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,532.40 : 297,769.80 = 58,276.40 : x
  2. Step 2: Convert to fraction form
    198,532.40/297,769.80 = 58,276.40/x
  3. Step 3: Cross multiply
    198,532.40x = 297,769.80 × 58,276.40
  4. Step 4: Simplify right side
    198,532.40x = 17,352,951,972.72
  5. Step 5: Solve for x
    x = 17,352,951,972.72/198,532.40
  6. Step 6: Final answer
    x = 87,406.15

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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.