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Finding the Fourth Proportional to 206,806.40, 285,320.14 and 135,228.32

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Solution

The fourth proportional to 206,806.40, 285,320.14 and 135,228.32 is: 186,567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,806.40 : 285,320.14 = 135,228.32 : x
  2. Step 2: Convert to fraction form
    206,806.40/285,320.14 = 135,228.32/x
  3. Step 3: Cross multiply
    206,806.40x = 285,320.14 × 135,228.32
  4. Step 4: Simplify right side
    206,806.40x = 38,583,363,194.36
  5. Step 5: Solve for x
    x = 38,583,363,194.36/206,806.40
  6. Step 6: Final answer
    x = 186,567.55

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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.