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Finding the Fourth Proportional to 268,238.80, 402,358.20 and 102,005.20

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Solution

The fourth proportional to 268,238.80, 402,358.20 and 102,005.20 is: 153,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,238.80 : 402,358.20 = 102,005.20 : x
  2. Step 2: Convert to fraction form
    268,238.80/402,358.20 = 102,005.20/x
  3. Step 3: Cross multiply
    268,238.80x = 402,358.20 × 102,005.20
  4. Step 4: Simplify right side
    268,238.80x = 41,042,628,662.64
  5. Step 5: Solve for x
    x = 41,042,628,662.64/268,238.80
  6. Step 6: Final answer
    x = 153,007.80

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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.