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Finding the Fourth Proportional to 207,792.13, 311,705.85 and 65,599.36

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Solution

The fourth proportional to 207,792.13, 311,705.85 and 65,599.36 is: 98,404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,792.13 : 311,705.85 = 65,599.36 : x
  2. Step 2: Convert to fraction form
    207,792.13/311,705.85 = 65,599.36/x
  3. Step 3: Cross multiply
    207,792.13x = 311,705.85 × 65,599.36
  4. Step 4: Simplify right side
    207,792.13x = 20,447,702,709.73
  5. Step 5: Solve for x
    x = 20,447,702,709.73/207,792.13
  6. Step 6: Final answer
    x = 98,404.61

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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.