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Finding the Fourth Proportional to 136,523.82, 204,785.73 and 53,359.50

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Solution

The fourth proportional to 136,523.82, 204,785.73 and 53,359.50 is: 80,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,523.82 : 204,785.73 = 53,359.50 : x
  2. Step 2: Convert to fraction form
    136,523.82/204,785.73 = 53,359.50/x
  3. Step 3: Cross multiply
    136,523.82x = 204,785.73 × 53,359.50
  4. Step 4: Simplify right side
    136,523.82x = 10,927,264,159.94
  5. Step 5: Solve for x
    x = 10,927,264,159.94/136,523.82
  6. Step 6: Final answer
    x = 80,039.25

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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.