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Finding the Fourth Proportional to 204,647.46, 282,376.02 and 114,001.20

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Solution

The fourth proportional to 204,647.46, 282,376.02 and 114,001.20 is: 157,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,647.46 : 282,376.02 = 114,001.20 : x
  2. Step 2: Convert to fraction form
    204,647.46/282,376.02 = 114,001.20/x
  3. Step 3: Cross multiply
    204,647.46x = 282,376.02 × 114,001.20
  4. Step 4: Simplify right side
    204,647.46x = 32,191,205,131.22
  5. Step 5: Solve for x
    x = 32,191,205,131.22/204,647.46
  6. Step 6: Final answer
    x = 157,300.78

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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.