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Finding the Fourth Proportional to 204,953.60, 307,142.40 and 162,905.60

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Solution

The fourth proportional to 204,953.60, 307,142.40 and 162,905.60 is: 244,129.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,953.60 : 307,142.40 = 162,905.60 : x
  2. Step 2: Convert to fraction form
    204,953.60/307,142.40 = 162,905.60/x
  3. Step 3: Cross multiply
    204,953.60x = 307,142.40 × 162,905.60
  4. Step 4: Simplify right side
    204,953.60x = 50,035,216,957.44
  5. Step 5: Solve for x
    x = 50,035,216,957.44/204,953.60
  6. Step 6: Final answer
    x = 244,129.49

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1.5x scale

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.