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Finding the Fourth Proportional to 159,200.80, 238,957.68 and 121,409.44

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Solution

The fourth proportional to 159,200.80, 238,957.68 and 121,409.44 is: 182,233.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,200.80 : 238,957.68 = 121,409.44 : x
  2. Step 2: Convert to fraction form
    159,200.80/238,957.68 = 121,409.44/x
  3. Step 3: Cross multiply
    159,200.80x = 238,957.68 × 121,409.44
  4. Step 4: Simplify right side
    159,200.80x = 29,011,718,112.50
  5. Step 5: Solve for x
    x = 29,011,718,112.50/159,200.80
  6. Step 6: Final answer
    x = 182,233.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.