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Finding the Fourth Proportional to 133,698.60, 200,499.30 and 67,116.60

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Solution

The fourth proportional to 133,698.60, 200,499.30 and 67,116.60 is: 100,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,698.60 : 200,499.30 = 67,116.60 : x
  2. Step 2: Convert to fraction form
    133,698.60/200,499.30 = 67,116.60/x
  3. Step 3: Cross multiply
    133,698.60x = 200,499.30 × 67,116.60
  4. Step 4: Simplify right side
    133,698.60x = 13,456,831,318.38
  5. Step 5: Solve for x
    x = 13,456,831,318.38/133,698.60
  6. Step 6: Final answer
    x = 100,650.50

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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.