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Finding the Fourth Proportional to 146,674, 220,015.32 and 35,866

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Solution

The fourth proportional to 146,674, 220,015.32 and 35,866 is: 53,800.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,674 : 220,015.32 = 35,866 : x
  2. Step 2: Convert to fraction form
    146,674/220,015.32 = 35,866/x
  3. Step 3: Cross multiply
    146,674x = 220,015.32 × 35,866
  4. Step 4: Simplify right side
    146,674x = 7,891,069,467.12
  5. Step 5: Solve for x
    x = 7,891,069,467.12/146,674
  6. Step 6: Final answer
    x = 53,800.06

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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.