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Finding the Fourth Proportional to 146,842.87, 220,291.87 and 46,976.25

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Solution

The fourth proportional to 146,842.87, 220,291.87 and 46,976.25 is: 70,473.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,842.87 : 220,291.87 = 46,976.25 : x
  2. Step 2: Convert to fraction form
    146,842.87/220,291.87 = 46,976.25/x
  3. Step 3: Cross multiply
    146,842.87x = 220,291.87 × 46,976.25
  4. Step 4: Simplify right side
    146,842.87x = 10,348,485,958.09
  5. Step 5: Solve for x
    x = 10,348,485,958.09/146,842.87
  6. Step 6: Final answer
    x = 70,473.19

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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.