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Finding the Fourth Proportional to 129,969.90, 194,809.05 and 66,765.60

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Solution

The fourth proportional to 129,969.90, 194,809.05 and 66,765.60 is: 100,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,969.90 : 194,809.05 = 66,765.60 : x
  2. Step 2: Convert to fraction form
    129,969.90/194,809.05 = 66,765.60/x
  3. Step 3: Cross multiply
    129,969.90x = 194,809.05 × 66,765.60
  4. Step 4: Simplify right side
    129,969.90x = 13,006,543,108.68
  5. Step 5: Solve for x
    x = 13,006,543,108.68/129,969.90
  6. Step 6: Final answer
    x = 100,073.50

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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.