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Finding the Fourth Proportional to 233,546.44, 322,317.90 and 142,962.27

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Solution

The fourth proportional to 233,546.44, 322,317.90 and 142,962.27 is: 197,302.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,546.44 : 322,317.90 = 142,962.27 : x
  2. Step 2: Convert to fraction form
    233,546.44/322,317.90 = 142,962.27/x
  3. Step 3: Cross multiply
    233,546.44x = 322,317.90 × 142,962.27
  4. Step 4: Simplify right side
    233,546.44x = 46,079,298,645.63
  5. Step 5: Solve for x
    x = 46,079,298,645.63/233,546.44
  6. Step 6: Final answer
    x = 197,302.51

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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.