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Finding the Fourth Proportional to 204,643.49, 282,416.51 and 113,999.42

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Solution

The fourth proportional to 204,643.49, 282,416.51 and 113,999.42 is: 157,323.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,643.49 : 282,416.51 = 113,999.42 : x
  2. Step 2: Convert to fraction form
    204,643.49/282,416.51 = 113,999.42/x
  3. Step 3: Cross multiply
    204,643.49x = 282,416.51 × 113,999.42
  4. Step 4: Simplify right side
    204,643.49x = 32,195,319,329.46
  5. Step 5: Solve for x
    x = 32,195,319,329.46/204,643.49
  6. Step 6: Final answer
    x = 157,323.94

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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.