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Finding the Fourth Proportional to 207,474.21, 311,099.94 and 65,292.89

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Solution

The fourth proportional to 207,474.21, 311,099.94 and 65,292.89 is: 97,904.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,474.21 : 311,099.94 = 65,292.89 : x
  2. Step 2: Convert to fraction form
    207,474.21/311,099.94 = 65,292.89/x
  3. Step 3: Cross multiply
    207,474.21x = 311,099.94 × 65,292.89
  4. Step 4: Simplify right side
    207,474.21x = 20,312,612,605.93
  5. Step 5: Solve for x
    x = 20,312,612,605.93/207,474.21
  6. Step 6: Final answer
    x = 97,904.28

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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.