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Finding the Fourth Proportional to 204,441.98, 282,133.12 and 113,798.92

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Solution

The fourth proportional to 204,441.98, 282,133.12 and 113,798.92 is: 157,044.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,441.98 : 282,133.12 = 113,798.92 : x
  2. Step 2: Convert to fraction form
    204,441.98/282,133.12 = 113,798.92/x
  3. Step 3: Cross multiply
    204,441.98x = 282,133.12 × 113,798.92
  4. Step 4: Simplify right side
    204,441.98x = 32,106,444,352.23
  5. Step 5: Solve for x
    x = 32,106,444,352.23/204,441.98
  6. Step 6: Final answer
    x = 157,044.28

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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.