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Finding the Fourth Proportional to 308,119.20, 462,567.60 and 166,077.60

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Solution

The fourth proportional to 308,119.20, 462,567.60 and 166,077.60 is: 249,325.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,119.20 : 462,567.60 = 166,077.60 : x
  2. Step 2: Convert to fraction form
    308,119.20/462,567.60 = 166,077.60/x
  3. Step 3: Cross multiply
    308,119.20x = 462,567.60 × 166,077.60
  4. Step 4: Simplify right side
    308,119.20x = 76,822,116,845.76
  5. Step 5: Solve for x
    x = 76,822,116,845.76/308,119.20
  6. Step 6: Final answer
    x = 249,325.96

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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.