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Finding the Fourth Proportional to 206,210.40, 309,344.40 and 87,880.80

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Solution

The fourth proportional to 206,210.40, 309,344.40 and 87,880.80 is: 131,833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,210.40 : 309,344.40 = 87,880.80 : x
  2. Step 2: Convert to fraction form
    206,210.40/309,344.40 = 87,880.80/x
  3. Step 3: Cross multiply
    206,210.40x = 309,344.40 × 87,880.80
  4. Step 4: Simplify right side
    206,210.40x = 27,185,433,347.52
  5. Step 5: Solve for x
    x = 27,185,433,347.52/206,210.40
  6. Step 6: Final answer
    x = 131,833.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.