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Finding the Fourth Proportional to 204,441.72, 282,132.76 and 113,798.68

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Solution

The fourth proportional to 204,441.72, 282,132.76 and 113,798.68 is: 157,043.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,441.72 : 282,132.76 = 113,798.68 : x
  2. Step 2: Convert to fraction form
    204,441.72/282,132.76 = 113,798.68/x
  3. Step 3: Cross multiply
    204,441.72x = 282,132.76 × 113,798.68
  4. Step 4: Simplify right side
    204,441.72x = 32,106,335,672.76
  5. Step 5: Solve for x
    x = 32,106,335,672.76/204,441.72
  6. Step 6: Final answer
    x = 157,043.95

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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.