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Finding the Fourth Proportional to 97,998.20, 147,074.10 and 45,414.20

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Solution

The fourth proportional to 97,998.20, 147,074.10 and 45,414.20 is: 68,156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,998.20 : 147,074.10 = 45,414.20 : x
  2. Step 2: Convert to fraction form
    97,998.20/147,074.10 = 45,414.20/x
  3. Step 3: Cross multiply
    97,998.20x = 147,074.10 × 45,414.20
  4. Step 4: Simplify right side
    97,998.20x = 6,679,252,592.22
  5. Step 5: Solve for x
    x = 6,679,252,592.22/97,998.20
  6. Step 6: Final answer
    x = 68,156.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.