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Finding the Fourth Proportional to 146,805, 220,218.48 and 41,632.44

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Solution

The fourth proportional to 146,805, 220,218.48 and 41,632.44 is: 62,451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,805 : 220,218.48 = 41,632.44 : x
  2. Step 2: Convert to fraction form
    146,805/220,218.48 = 41,632.44/x
  3. Step 3: Cross multiply
    146,805x = 220,218.48 × 41,632.44
  4. Step 4: Simplify right side
    146,805x = 9,168,232,655.49
  5. Step 5: Solve for x
    x = 9,168,232,655.49/146,805
  6. Step 6: Final answer
    x = 62,451.77

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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.