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Finding the Fourth Proportional to 232,638.61, 321,033.18 and 142,146.04

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Solution

The fourth proportional to 232,638.61, 321,033.18 and 142,146.04 is: 196,156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,638.61 : 321,033.18 = 142,146.04 : x
  2. Step 2: Convert to fraction form
    232,638.61/321,033.18 = 142,146.04/x
  3. Step 3: Cross multiply
    232,638.61x = 321,033.18 × 142,146.04
  4. Step 4: Simplify right side
    232,638.61x = 45,633,594,976.07
  5. Step 5: Solve for x
    x = 45,633,594,976.07/232,638.61
  6. Step 6: Final answer
    x = 196,156.59

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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.