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Finding the Fourth Proportional to 149,491.50, 223,555.50 and 111,567.54

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Solution

The fourth proportional to 149,491.50, 223,555.50 and 111,567.54 is: 166,842.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,491.50 : 223,555.50 = 111,567.54 : x
  2. Step 2: Convert to fraction form
    149,491.50/223,555.50 = 111,567.54/x
  3. Step 3: Cross multiply
    149,491.50x = 223,555.50 × 111,567.54
  4. Step 4: Simplify right side
    149,491.50x = 24,941,537,188.47
  5. Step 5: Solve for x
    x = 24,941,537,188.47/149,491.50
  6. Step 6: Final answer
    x = 166,842.51

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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.