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Finding the Fourth Proportional to 232,462.68, 320,787.99 and 141,804.24

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Solution

The fourth proportional to 232,462.68, 320,787.99 and 141,804.24 is: 195,683.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,462.68 : 320,787.99 = 141,804.24 : x
  2. Step 2: Convert to fraction form
    232,462.68/320,787.99 = 141,804.24/x
  3. Step 3: Cross multiply
    232,462.68x = 320,787.99 × 141,804.24
  4. Step 4: Simplify right side
    232,462.68x = 45,489,097,123.08
  5. Step 5: Solve for x
    x = 45,489,097,123.08/232,462.68
  6. Step 6: Final answer
    x = 195,683.44

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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.