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Finding the Fourth Proportional to 119,533.56, 164,887.50 and 74,743.80

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Solution

The fourth proportional to 119,533.56, 164,887.50 and 74,743.80 is: 103,103.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,533.56 : 164,887.50 = 74,743.80 : x
  2. Step 2: Convert to fraction form
    119,533.56/164,887.50 = 74,743.80/x
  3. Step 3: Cross multiply
    119,533.56x = 164,887.50 × 74,743.80
  4. Step 4: Simplify right side
    119,533.56x = 12,324,318,322.50
  5. Step 5: Solve for x
    x = 12,324,318,322.50/119,533.56
  6. Step 6: Final answer
    x = 103,103.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.