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Finding the Fourth Proportional to 104,741.70, 157,112.55 and 81,384.90

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Solution

The fourth proportional to 104,741.70, 157,112.55 and 81,384.90 is: 122,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,741.70 : 157,112.55 = 81,384.90 : x
  2. Step 2: Convert to fraction form
    104,741.70/157,112.55 = 81,384.90/x
  3. Step 3: Cross multiply
    104,741.70x = 157,112.55 × 81,384.90
  4. Step 4: Simplify right side
    104,741.70x = 12,786,589,170.50
  5. Step 5: Solve for x
    x = 12,786,589,170.50/104,741.70
  6. Step 6: Final answer
    x = 122,077.35

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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.