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Finding the Fourth Proportional to 302,915.50, 418,006.33 and 166,949.03

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Solution

The fourth proportional to 302,915.50, 418,006.33 and 166,949.03 is: 230,380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,915.50 : 418,006.33 = 166,949.03 : x
  2. Step 2: Convert to fraction form
    302,915.50/418,006.33 = 166,949.03/x
  3. Step 3: Cross multiply
    302,915.50x = 418,006.33 × 166,949.03
  4. Step 4: Simplify right side
    302,915.50x = 69,785,751,955.00
  5. Step 5: Solve for x
    x = 69,785,751,955.00/302,915.50
  6. Step 6: Final answer
    x = 230,380.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.