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Finding the Fourth Proportional to 129,920.70, 194,881.05 and 120,200.70

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Solution

The fourth proportional to 129,920.70, 194,881.05 and 120,200.70 is: 180,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,920.70 : 194,881.05 = 120,200.70 : x
  2. Step 2: Convert to fraction form
    129,920.70/194,881.05 = 120,200.70/x
  3. Step 3: Cross multiply
    129,920.70x = 194,881.05 × 120,200.70
  4. Step 4: Simplify right side
    129,920.70x = 23,424,838,626.74
  5. Step 5: Solve for x
    x = 23,424,838,626.74/129,920.70
  6. Step 6: Final answer
    x = 180,301.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.