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Finding the Fourth Proportional to 308,192.30, 462,369.45 and 97,829.90

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Solution

The fourth proportional to 308,192.30, 462,369.45 and 97,829.90 is: 146,770.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,192.30 : 462,369.45 = 97,829.90 : x
  2. Step 2: Convert to fraction form
    308,192.30/462,369.45 = 97,829.90/x
  3. Step 3: Cross multiply
    308,192.30x = 462,369.45 × 97,829.90
  4. Step 4: Simplify right side
    308,192.30x = 45,233,557,056.56
  5. Step 5: Solve for x
    x = 45,233,557,056.56/308,192.30
  6. Step 6: Final answer
    x = 146,770.56

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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.