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Finding the Fourth Proportional to 422,287.24, 633,430.86 and 106,744.14

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Solution

The fourth proportional to 422,287.24, 633,430.86 and 106,744.14 is: 160,116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,287.24 : 633,430.86 = 106,744.14 : x
  2. Step 2: Convert to fraction form
    422,287.24/633,430.86 = 106,744.14/x
  3. Step 3: Cross multiply
    422,287.24x = 633,430.86 × 106,744.14
  4. Step 4: Simplify right side
    422,287.24x = 67,615,032,400.16
  5. Step 5: Solve for x
    x = 67,615,032,400.16/422,287.24
  6. Step 6: Final answer
    x = 160,116.21

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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.