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Finding the Fourth Proportional to 308,757.02, 462,898.10 and 156,829.27

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Solution

The fourth proportional to 308,757.02, 462,898.10 and 156,829.27 is: 235,123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,757.02 : 462,898.10 = 156,829.27 : x
  2. Step 2: Convert to fraction form
    308,757.02/462,898.10 = 156,829.27/x
  3. Step 3: Cross multiply
    308,757.02x = 462,898.10 × 156,829.27
  4. Step 4: Simplify right side
    308,757.02x = 72,595,971,107.39
  5. Step 5: Solve for x
    x = 72,595,971,107.39/308,757.02
  6. Step 6: Final answer
    x = 235,123.31

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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.