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Finding the Fourth Proportional to 207,730.78, 311,638.09 and 65,598.26

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Solution

The fourth proportional to 207,730.78, 311,638.09 and 65,598.26 is: 98,410.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,730.78 : 311,638.09 = 65,598.26 : x
  2. Step 2: Convert to fraction form
    207,730.78/311,638.09 = 65,598.26/x
  3. Step 3: Cross multiply
    207,730.78x = 311,638.09 × 65,598.26
  4. Step 4: Simplify right side
    207,730.78x = 20,442,916,453.72
  5. Step 5: Solve for x
    x = 20,442,916,453.72/207,730.78
  6. Step 6: Final answer
    x = 98,410.63

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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.