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Finding the Fourth Proportional to 232,634.69, 321,071.20 and 142,043.48

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Solution

The fourth proportional to 232,634.69, 321,071.20 and 142,043.48 is: 196,041.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,634.69 : 321,071.20 = 142,043.48 : x
  2. Step 2: Convert to fraction form
    232,634.69/321,071.20 = 142,043.48/x
  3. Step 3: Cross multiply
    232,634.69x = 321,071.20 × 142,043.48
  4. Step 4: Simplify right side
    232,634.69x = 45,606,068,970.42
  5. Step 5: Solve for x
    x = 45,606,068,970.42/232,634.69
  6. Step 6: Final answer
    x = 196,041.57

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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.