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Finding the Fourth Proportional to 171,993.60, 257,480.10 and 127,816.20

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Solution

The fourth proportional to 171,993.60, 257,480.10 and 127,816.20 is: 191,345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,993.60 : 257,480.10 = 127,816.20 : x
  2. Step 2: Convert to fraction form
    171,993.60/257,480.10 = 127,816.20/x
  3. Step 3: Cross multiply
    171,993.60x = 257,480.10 × 127,816.20
  4. Step 4: Simplify right side
    171,993.60x = 32,910,127,957.62
  5. Step 5: Solve for x
    x = 32,910,127,957.62/171,993.60
  6. Step 6: Final answer
    x = 191,345.07

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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.