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Finding the Fourth Proportional to 116,491,420.80, 174,989,073.60 and 82,479,196.80

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Solution

The fourth proportional to 116,491,420.80, 174,989,073.60 and 82,479,196.80 is: 123,897,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,491,420.80 : 174,989,073.60 = 82,479,196.80 : x
  2. Step 2: Convert to fraction form
    116,491,420.80/174,989,073.60 = 82,479,196.80/x
  3. Step 3: Cross multiply
    116,491,420.80x = 174,989,073.60 × 82,479,196.80
  4. Step 4: Simplify right side
    116,491,420.80x = 14,432,958,239,304,084
  5. Step 5: Solve for x
    x = 14,432,958,239,304,084/116,491,420.80
  6. Step 6: Final answer
    x = 123,897,177.49

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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.