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Finding the Fourth Proportional to 127,861.65, 191,792.21 and 34,367.40

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Solution

The fourth proportional to 127,861.65, 191,792.21 and 34,367.40 is: 51,551.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,861.65 : 191,792.21 = 34,367.40 : x
  2. Step 2: Convert to fraction form
    127,861.65/191,792.21 = 34,367.40/x
  3. Step 3: Cross multiply
    127,861.65x = 191,792.21 × 34,367.40
  4. Step 4: Simplify right side
    127,861.65x = 6,591,399,426.12
  5. Step 5: Solve for x
    x = 6,591,399,426.12/127,861.65
  6. Step 6: Final answer
    x = 51,551.03

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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.