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Finding the Fourth Proportional to 204,816.40, 307,224.60 and 169,795.60

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Solution

The fourth proportional to 204,816.40, 307,224.60 and 169,795.60 is: 254,693.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,816.40 : 307,224.60 = 169,795.60 : x
  2. Step 2: Convert to fraction form
    204,816.40/307,224.60 = 169,795.60/x
  3. Step 3: Cross multiply
    204,816.40x = 307,224.60 × 169,795.60
  4. Step 4: Simplify right side
    204,816.40x = 52,165,385,291.76
  5. Step 5: Solve for x
    x = 52,165,385,291.76/204,816.40
  6. Step 6: Final answer
    x = 254,693.40

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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.