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Finding the Fourth Proportional to 302,017.16, 416,786.38 and 164,196.38

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Solution

The fourth proportional to 302,017.16, 416,786.38 and 164,196.38 is: 226,592.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,017.16 : 416,786.38 = 164,196.38 : x
  2. Step 2: Convert to fraction form
    302,017.16/416,786.38 = 164,196.38/x
  3. Step 3: Cross multiply
    302,017.16x = 416,786.38 × 164,196.38
  4. Step 4: Simplify right side
    302,017.16x = 68,434,815,460.78
  5. Step 5: Solve for x
    x = 68,434,815,460.78/302,017.16
  6. Step 6: Final answer
    x = 226,592.47

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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.