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Finding the Fourth Proportional to 308,074.98, 462,186.30 and 97,712.84

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Solution

The fourth proportional to 308,074.98, 462,186.30 and 97,712.84 is: 146,592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,074.98 : 462,186.30 = 97,712.84 : x
  2. Step 2: Convert to fraction form
    308,074.98/462,186.30 = 97,712.84/x
  3. Step 3: Cross multiply
    308,074.98x = 462,186.30 × 97,712.84
  4. Step 4: Simplify right side
    308,074.98x = 45,161,535,982.09
  5. Step 5: Solve for x
    x = 45,161,535,982.09/308,074.98
  6. Step 6: Final answer
    x = 146,592.68

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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.