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Finding the Fourth Proportional to 127,294.70, 190,942.05 and 97,861.10

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Solution

The fourth proportional to 127,294.70, 190,942.05 and 97,861.10 is: 146,791.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,294.70 : 190,942.05 = 97,861.10 : x
  2. Step 2: Convert to fraction form
    127,294.70/190,942.05 = 97,861.10/x
  3. Step 3: Cross multiply
    127,294.70x = 190,942.05 × 97,861.10
  4. Step 4: Simplify right side
    127,294.70x = 18,685,799,049.26
  5. Step 5: Solve for x
    x = 18,685,799,049.26/127,294.70
  6. Step 6: Final answer
    x = 146,791.65

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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.