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Finding the Fourth Proportional to 232,637.55, 321,002.07 and 145,412.33

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Solution

The fourth proportional to 232,637.55, 321,002.07 and 145,412.33 is: 200,645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,637.55 : 321,002.07 = 145,412.33 : x
  2. Step 2: Convert to fraction form
    232,637.55/321,002.07 = 145,412.33/x
  3. Step 3: Cross multiply
    232,637.55x = 321,002.07 × 145,412.33
  4. Step 4: Simplify right side
    232,637.55x = 46,677,659,736.03
  5. Step 5: Solve for x
    x = 46,677,659,736.03/232,637.55
  6. Step 6: Final answer
    x = 200,645.42

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