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Finding the Fourth Proportional to 232,384.50, 320,690.61 and 131,782.50

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Solution

The fourth proportional to 232,384.50, 320,690.61 and 131,782.50 is: 181,859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,384.50 : 320,690.61 = 131,782.50 : x
  2. Step 2: Convert to fraction form
    232,384.50/320,690.61 = 131,782.50/x
  3. Step 3: Cross multiply
    232,384.50x = 320,690.61 × 131,782.50
  4. Step 4: Simplify right side
    232,384.50x = 42,261,410,312.33
  5. Step 5: Solve for x
    x = 42,261,410,312.33/232,384.50
  6. Step 6: Final answer
    x = 181,859.85

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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.