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Finding the Fourth Proportional to 198,492.60, 297,825.30 and 99,996.60

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Solution

The fourth proportional to 198,492.60, 297,825.30 and 99,996.60 is: 150,038.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,492.60 : 297,825.30 = 99,996.60 : x
  2. Step 2: Convert to fraction form
    198,492.60/297,825.30 = 99,996.60/x
  3. Step 3: Cross multiply
    198,492.60x = 297,825.30 × 99,996.60
  4. Step 4: Simplify right side
    198,492.60x = 29,781,517,393.98
  5. Step 5: Solve for x
    x = 29,781,517,393.98/198,492.60
  6. Step 6: Final answer
    x = 150,038.43

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1.5x scale

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.