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Finding the Fourth Proportional to 223,019.70, 308,022.78 and 146,879.10

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Solution

The fourth proportional to 223,019.70, 308,022.78 and 146,879.10 is: 202,861.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,019.70 : 308,022.78 = 146,879.10 : x
  2. Step 2: Convert to fraction form
    223,019.70/308,022.78 = 146,879.10/x
  3. Step 3: Cross multiply
    223,019.70x = 308,022.78 × 146,879.10
  4. Step 4: Simplify right side
    223,019.70x = 45,242,108,705.90
  5. Step 5: Solve for x
    x = 45,242,108,705.90/223,019.70
  6. Step 6: Final answer
    x = 202,861.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.