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Finding the Fourth Proportional to 233,546.68, 322,318.20 and 142,962.49

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Solution

The fourth proportional to 233,546.68, 322,318.20 and 142,962.49 is: 197,302.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,546.68 : 322,318.20 = 142,962.49 : x
  2. Step 2: Convert to fraction form
    233,546.68/322,318.20 = 142,962.49/x
  3. Step 3: Cross multiply
    233,546.68x = 322,318.20 × 142,962.49
  4. Step 4: Simplify right side
    233,546.68x = 46,079,412,444.32
  5. Step 5: Solve for x
    x = 46,079,412,444.32/233,546.68
  6. Step 6: Final answer
    x = 197,302.79

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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.