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Finding the Fourth Proportional to 119,222.34, 178,917.54 and 56,045.34

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Solution

The fourth proportional to 119,222.34, 178,917.54 and 56,045.34 is: 84,107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,222.34 : 178,917.54 = 56,045.34 : x
  2. Step 2: Convert to fraction form
    119,222.34/178,917.54 = 56,045.34/x
  3. Step 3: Cross multiply
    119,222.34x = 178,917.54 × 56,045.34
  4. Step 4: Simplify right side
    119,222.34x = 10,027,494,361.26
  5. Step 5: Solve for x
    x = 10,027,494,361.26/119,222.34
  6. Step 6: Final answer
    x = 84,107.51

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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.