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Finding the Fourth Proportional to 206,772.84, 310,167.16 and 64,631.20

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Solution

The fourth proportional to 206,772.84, 310,167.16 and 64,631.20 is: 96,949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,772.84 : 310,167.16 = 64,631.20 : x
  2. Step 2: Convert to fraction form
    206,772.84/310,167.16 = 64,631.20/x
  3. Step 3: Cross multiply
    206,772.84x = 310,167.16 × 64,631.20
  4. Step 4: Simplify right side
    206,772.84x = 20,046,475,751.39
  5. Step 5: Solve for x
    x = 20,046,475,751.39/206,772.84
  6. Step 6: Final answer
    x = 96,949.27

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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.