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Finding the Fourth Proportional to 206,824.60, 289,948.10 and 206,824.60

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Solution

The fourth proportional to 206,824.60, 289,948.10 and 206,824.60 is: 289,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,824.60 : 289,948.10 = 206,824.60 : x
  2. Step 2: Convert to fraction form
    206,824.60/289,948.10 = 206,824.60/x
  3. Step 3: Cross multiply
    206,824.60x = 289,948.10 × 206,824.60
  4. Step 4: Simplify right side
    206,824.60x = 59,968,399,803.26
  5. Step 5: Solve for x
    x = 59,968,399,803.26/206,824.60
  6. Step 6: Final answer
    x = 289,948.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.