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Finding the Fourth Proportional to 158,786.96, 238,012.50 and 52,142.90

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Solution

The fourth proportional to 158,786.96, 238,012.50 and 52,142.90 is: 78,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,786.96 : 238,012.50 = 52,142.90 : x
  2. Step 2: Convert to fraction form
    158,786.96/238,012.50 = 52,142.90/x
  3. Step 3: Cross multiply
    158,786.96x = 238,012.50 × 52,142.90
  4. Step 4: Simplify right side
    158,786.96x = 12,410,661,986.25
  5. Step 5: Solve for x
    x = 12,410,661,986.25/158,786.96
  6. Step 6: Final answer
    x = 78,159.20

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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.