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Finding the Fourth Proportional to 207,364.16, 311,045.94 and 65,221.92

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Solution

The fourth proportional to 207,364.16, 311,045.94 and 65,221.92 is: 97,832.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,364.16 : 311,045.94 = 65,221.92 : x
  2. Step 2: Convert to fraction form
    207,364.16/311,045.94 = 65,221.92/x
  3. Step 3: Cross multiply
    207,364.16x = 311,045.94 × 65,221.92
  4. Step 4: Simplify right side
    207,364.16x = 20,287,013,415.00
  5. Step 5: Solve for x
    x = 20,287,013,415.00/207,364.16
  6. Step 6: Final answer
    x = 97,832.79

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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.