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Finding the Fourth Proportional to 149,765.63, 224,451.54 and 73,905.89

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Solution

The fourth proportional to 149,765.63, 224,451.54 and 73,905.89 is: 110,761.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,765.63 : 224,451.54 = 73,905.89 : x
  2. Step 2: Convert to fraction form
    149,765.63/224,451.54 = 73,905.89/x
  3. Step 3: Cross multiply
    149,765.63x = 224,451.54 × 73,905.89
  4. Step 4: Simplify right side
    149,765.63x = 16,588,289,703.31
  5. Step 5: Solve for x
    x = 16,588,289,703.31/149,765.63
  6. Step 6: Final answer
    x = 110,761.66

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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.