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Finding the Fourth Proportional to 262,957.50, 394,239.42 and 85,358.52

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Solution

The fourth proportional to 262,957.50, 394,239.42 and 85,358.52 is: 127,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,957.50 : 394,239.42 = 85,358.52 : x
  2. Step 2: Convert to fraction form
    262,957.50/394,239.42 = 85,358.52/x
  3. Step 3: Cross multiply
    262,957.50x = 394,239.42 × 85,358.52
  4. Step 4: Simplify right side
    262,957.50x = 33,651,693,416.86
  5. Step 5: Solve for x
    x = 33,651,693,416.86/262,957.50
  6. Step 6: Final answer
    x = 127,973.89

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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.