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Finding the Fourth Proportional to 207,362.16, 311,042.95 and 65,219.92

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Solution

The fourth proportional to 207,362.16, 311,042.95 and 65,219.92 is: 97,829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,362.16 : 311,042.95 = 65,219.92 : x
  2. Step 2: Convert to fraction form
    207,362.16/311,042.95 = 65,219.92/x
  3. Step 3: Cross multiply
    207,362.16x = 311,042.95 × 65,219.92
  4. Step 4: Simplify right side
    207,362.16x = 20,286,194,760.35
  5. Step 5: Solve for x
    x = 20,286,194,760.35/207,362.16
  6. Step 6: Final answer
    x = 97,829.78

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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.