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Finding the Fourth Proportional to 111,916.90, 167,905.05 and 48,709.90

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Solution

The fourth proportional to 111,916.90, 167,905.05 and 48,709.90 is: 73,077.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,916.90 : 167,905.05 = 48,709.90 : x
  2. Step 2: Convert to fraction form
    111,916.90/167,905.05 = 48,709.90/x
  3. Step 3: Cross multiply
    111,916.90x = 167,905.05 × 48,709.90
  4. Step 4: Simplify right side
    111,916.90x = 8,178,638,195.00
  5. Step 5: Solve for x
    x = 8,178,638,195.00/111,916.90
  6. Step 6: Final answer
    x = 73,077.78

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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.