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Finding the Fourth Proportional to 207,911.93, 311,906.40 and 65,792.98

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Solution

The fourth proportional to 207,911.93, 311,906.40 and 65,792.98 is: 98,701.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,911.93 : 311,906.40 = 65,792.98 : x
  2. Step 2: Convert to fraction form
    207,911.93/311,906.40 = 65,792.98/x
  3. Step 3: Cross multiply
    207,911.93x = 311,906.40 × 65,792.98
  4. Step 4: Simplify right side
    207,911.93x = 20,521,251,680.23
  5. Step 5: Solve for x
    x = 20,521,251,680.23/207,911.93
  6. Step 6: Final answer
    x = 98,701.66

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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.