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Finding the Fourth Proportional to 129,861.40, 194,657.70 and 70,571.80

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Solution

The fourth proportional to 129,861.40, 194,657.70 and 70,571.80 is: 105,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,861.40 : 194,657.70 = 70,571.80 : x
  2. Step 2: Convert to fraction form
    129,861.40/194,657.70 = 70,571.80/x
  3. Step 3: Cross multiply
    129,861.40x = 194,657.70 × 70,571.80
  4. Step 4: Simplify right side
    129,861.40x = 13,737,344,272.86
  5. Step 5: Solve for x
    x = 13,737,344,272.86/129,861.40
  6. Step 6: Final answer
    x = 105,784.66

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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.