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Finding the Fourth Proportional to 233,449.46, 322,172.24 and 142,776.98

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Solution

The fourth proportional to 233,449.46, 322,172.24 and 142,776.98 is: 197,039.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,449.46 : 322,172.24 = 142,776.98 : x
  2. Step 2: Convert to fraction form
    233,449.46/322,172.24 = 142,776.98/x
  3. Step 3: Cross multiply
    233,449.46x = 322,172.24 × 142,776.98
  4. Step 4: Simplify right side
    233,449.46x = 45,998,778,350.44
  5. Step 5: Solve for x
    x = 45,998,778,350.44/233,449.46
  6. Step 6: Final answer
    x = 197,039.56

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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.