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Finding the Fourth Proportional to 149,392.40, 223,693.11 and 123,214.01

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Solution

The fourth proportional to 149,392.40, 223,693.11 and 123,214.01 is: 184,494.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,392.40 : 223,693.11 = 123,214.01 : x
  2. Step 2: Convert to fraction form
    149,392.40/223,693.11 = 123,214.01/x
  3. Step 3: Cross multiply
    149,392.40x = 223,693.11 × 123,214.01
  4. Step 4: Simplify right side
    149,392.40x = 27,562,123,974.01
  5. Step 5: Solve for x
    x = 27,562,123,974.01/149,392.40
  6. Step 6: Final answer
    x = 184,494.83

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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.