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Finding the Fourth Proportional to 204,707.70, 282,497.21 and 118,683.40

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Solution

The fourth proportional to 204,707.70, 282,497.21 and 118,683.40 is: 163,783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,707.70 : 282,497.21 = 118,683.40 : x
  2. Step 2: Convert to fraction form
    204,707.70/282,497.21 = 118,683.40/x
  3. Step 3: Cross multiply
    204,707.70x = 282,497.21 × 118,683.40
  4. Step 4: Simplify right side
    204,707.70x = 33,527,729,373.31
  5. Step 5: Solve for x
    x = 33,527,729,373.31/204,707.70
  6. Step 6: Final answer
    x = 163,783.43

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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.