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Finding the Fourth Proportional to 152,744.32, 229,120.32 and 41,936

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Solution

The fourth proportional to 152,744.32, 229,120.32 and 41,936 is: 62,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,744.32 : 229,120.32 = 41,936 : x
  2. Step 2: Convert to fraction form
    152,744.32/229,120.32 = 41,936/x
  3. Step 3: Cross multiply
    152,744.32x = 229,120.32 × 41,936
  4. Step 4: Simplify right side
    152,744.32x = 9,608,389,739.52
  5. Step 5: Solve for x
    x = 9,608,389,739.52/152,744.32
  6. Step 6: Final answer
    x = 62,905.05

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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.