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Finding the Fourth Proportional to 206,878.40, 310,317.60 and 205,566.20

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Solution

The fourth proportional to 206,878.40, 310,317.60 and 205,566.20 is: 308,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,878.40 : 310,317.60 = 205,566.20 : x
  2. Step 2: Convert to fraction form
    206,878.40/310,317.60 = 205,566.20/x
  3. Step 3: Cross multiply
    206,878.40x = 310,317.60 × 205,566.20
  4. Step 4: Simplify right side
    206,878.40x = 63,790,809,825.12
  5. Step 5: Solve for x
    x = 63,790,809,825.12/206,878.40
  6. Step 6: Final answer
    x = 308,349.30

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Why These Related Problems?

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