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Finding the Fourth Proportional to 133,518.56, 200,284.31 and 43,561.10

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Solution

The fourth proportional to 133,518.56, 200,284.31 and 43,561.10 is: 65,343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,518.56 : 200,284.31 = 43,561.10 : x
  2. Step 2: Convert to fraction form
    133,518.56/200,284.31 = 43,561.10/x
  3. Step 3: Cross multiply
    133,518.56x = 200,284.31 × 43,561.10
  4. Step 4: Simplify right side
    133,518.56x = 8,724,605,465.95
  5. Step 5: Solve for x
    x = 8,724,605,465.95/133,518.56
  6. Step 6: Final answer
    x = 65,343.76

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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.