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Finding the Fourth Proportional to 302,029.02, 416,801.12 and 166,071.52

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Solution

The fourth proportional to 302,029.02, 416,801.12 and 166,071.52 is: 229,179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,029.02 : 416,801.12 = 166,071.52 : x
  2. Step 2: Convert to fraction form
    302,029.02/416,801.12 = 166,071.52/x
  3. Step 3: Cross multiply
    302,029.02x = 416,801.12 × 166,071.52
  4. Step 4: Simplify right side
    302,029.02x = 69,218,792,882.24
  5. Step 5: Solve for x
    x = 69,218,792,882.24/302,029.02
  6. Step 6: Final answer
    x = 229,179.28

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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.