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Finding the Fourth Proportional to 308,957.86, 463,735.95 and 149,146.03

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Solution

The fourth proportional to 308,957.86, 463,735.95 and 149,146.03 is: 223,863.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,957.86 : 463,735.95 = 149,146.03 : x
  2. Step 2: Convert to fraction form
    308,957.86/463,735.95 = 149,146.03/x
  3. Step 3: Cross multiply
    308,957.86x = 463,735.95 × 149,146.03
  4. Step 4: Simplify right side
    308,957.86x = 69,164,375,910.78
  5. Step 5: Solve for x
    x = 69,164,375,910.78/308,957.86
  6. Step 6: Final answer
    x = 223,863.46

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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.