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Finding the Fourth Proportional to 81,409.20, 122,113.80 and 73,114.80

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Solution

The fourth proportional to 81,409.20, 122,113.80 and 73,114.80 is: 109,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,409.20 : 122,113.80 = 73,114.80 : x
  2. Step 2: Convert to fraction form
    81,409.20/122,113.80 = 73,114.80/x
  3. Step 3: Cross multiply
    81,409.20x = 122,113.80 × 73,114.80
  4. Step 4: Simplify right side
    81,409.20x = 8,928,326,064.24
  5. Step 5: Solve for x
    x = 8,928,326,064.24/81,409.20
  6. Step 6: Final answer
    x = 109,672.20

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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.