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Finding the Fourth Proportional to 230,787.80, 346,051.85 and 158,825.24

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Solution

The fourth proportional to 230,787.80, 346,051.85 and 158,825.24 is: 238,148.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,787.80 : 346,051.85 = 158,825.24 : x
  2. Step 2: Convert to fraction form
    230,787.80/346,051.85 = 158,825.24/x
  3. Step 3: Cross multiply
    230,787.80x = 346,051.85 × 158,825.24
  4. Step 4: Simplify right side
    230,787.80x = 54,961,766,902.00
  5. Step 5: Solve for x
    x = 54,961,766,902.00/230,787.80
  6. Step 6: Final answer
    x = 238,148.49

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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.