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Finding the Fourth Proportional to 104,951.90, 157,427.85 and 91,829.90

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Solution

The fourth proportional to 104,951.90, 157,427.85 and 91,829.90 is: 137,744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,951.90 : 157,427.85 = 91,829.90 : x
  2. Step 2: Convert to fraction form
    104,951.90/157,427.85 = 91,829.90/x
  3. Step 3: Cross multiply
    104,951.90x = 157,427.85 × 91,829.90
  4. Step 4: Simplify right side
    104,951.90x = 14,456,583,722.72
  5. Step 5: Solve for x
    x = 14,456,583,722.72/104,951.90
  6. Step 6: Final answer
    x = 137,744.85

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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.