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Finding the Fourth Proportional to 98,705.70, 148,022.10 and 48,769.20

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Solution

The fourth proportional to 98,705.70, 148,022.10 and 48,769.20 is: 73,135.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,705.70 : 148,022.10 = 48,769.20 : x
  2. Step 2: Convert to fraction form
    98,705.70/148,022.10 = 48,769.20/x
  3. Step 3: Cross multiply
    98,705.70x = 148,022.10 × 48,769.20
  4. Step 4: Simplify right side
    98,705.70x = 7,218,919,399.32
  5. Step 5: Solve for x
    x = 7,218,919,399.32/98,705.70
  6. Step 6: Final answer
    x = 73,135.79

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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.