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Finding the Fourth Proportional to 133,695.40, 200,571.90 and 40,210.60

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Solution

The fourth proportional to 133,695.40, 200,571.90 and 40,210.60 is: 60,324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,695.40 : 200,571.90 = 40,210.60 : x
  2. Step 2: Convert to fraction form
    133,695.40/200,571.90 = 40,210.60/x
  3. Step 3: Cross multiply
    133,695.40x = 200,571.90 × 40,210.60
  4. Step 4: Simplify right side
    133,695.40x = 8,065,116,442.14
  5. Step 5: Solve for x
    x = 8,065,116,442.14/133,695.40
  6. Step 6: Final answer
    x = 60,324.56

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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.