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Finding the Fourth Proportional to 232,703.84, 321,161.28 and 142,040.72

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Solution

The fourth proportional to 232,703.84, 321,161.28 and 142,040.72 is: 196,034.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,703.84 : 321,161.28 = 142,040.72 : x
  2. Step 2: Convert to fraction form
    232,703.84/321,161.28 = 142,040.72/x
  3. Step 3: Cross multiply
    232,703.84x = 321,161.28 × 142,040.72
  4. Step 4: Simplify right side
    232,703.84x = 45,617,979,447.32
  5. Step 5: Solve for x
    x = 45,617,979,447.32/232,703.84
  6. Step 6: Final answer
    x = 196,034.49

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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.