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Finding the Fourth Proportional to 308,171.60, 462,214.20 and 97,830.80

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Solution

The fourth proportional to 308,171.60, 462,214.20 and 97,830.80 is: 146,732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,171.60 : 462,214.20 = 97,830.80 : x
  2. Step 2: Convert to fraction form
    308,171.60/462,214.20 = 97,830.80/x
  3. Step 3: Cross multiply
    308,171.60x = 462,214.20 × 97,830.80
  4. Step 4: Simplify right side
    308,171.60x = 45,218,784,957.36
  5. Step 5: Solve for x
    x = 45,218,784,957.36/308,171.60
  6. Step 6: Final answer
    x = 146,732.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.