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Finding the Fourth Proportional to 255,200.28, 352,161.38 and 147,762.68

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Solution

The fourth proportional to 255,200.28, 352,161.38 and 147,762.68 is: 203,903.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,200.28 : 352,161.38 = 147,762.68 : x
  2. Step 2: Convert to fraction form
    255,200.28/352,161.38 = 147,762.68/x
  3. Step 3: Cross multiply
    255,200.28x = 352,161.38 × 147,762.68
  4. Step 4: Simplify right side
    255,200.28x = 52,036,309,301.30
  5. Step 5: Solve for x
    x = 52,036,309,301.30/255,200.28
  6. Step 6: Final answer
    x = 203,903.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.