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Finding the Fourth Proportional to 206,478.62, 309,508.80 and 139,925.48

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Solution

The fourth proportional to 206,478.62, 309,508.80 and 139,925.48 is: 209,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,478.62 : 309,508.80 = 139,925.48 : x
  2. Step 2: Convert to fraction form
    206,478.62/309,508.80 = 139,925.48/x
  3. Step 3: Cross multiply
    206,478.62x = 309,508.80 × 139,925.48
  4. Step 4: Simplify right side
    206,478.62x = 43,308,165,331.96
  5. Step 5: Solve for x
    x = 43,308,165,331.96/206,478.62
  6. Step 6: Final answer
    x = 209,746.49

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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.