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Finding the Fourth Proportional to 233,013.64, 321,593.34 and 142,421.80

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Solution

The fourth proportional to 233,013.64, 321,593.34 and 142,421.80 is: 196,563.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,013.64 : 321,593.34 = 142,421.80 : x
  2. Step 2: Convert to fraction form
    233,013.64/321,593.34 = 142,421.80/x
  3. Step 3: Cross multiply
    233,013.64x = 321,593.34 × 142,421.80
  4. Step 4: Simplify right side
    233,013.64x = 45,801,902,350.81
  5. Step 5: Solve for x
    x = 45,801,902,350.81/233,013.64
  6. Step 6: Final answer
    x = 196,563.18

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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.