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Finding the Fourth Proportional to 302,092.36, 416,898.02 and 166,131.88

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Solution

The fourth proportional to 302,092.36, 416,898.02 and 166,131.88 is: 229,267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,092.36 : 416,898.02 = 166,131.88 : x
  2. Step 2: Convert to fraction form
    302,092.36/416,898.02 = 166,131.88/x
  3. Step 3: Cross multiply
    302,092.36x = 416,898.02 × 166,131.88
  4. Step 4: Simplify right side
    302,092.36x = 69,260,051,830.88
  5. Step 5: Solve for x
    x = 69,260,051,830.88/302,092.36
  6. Step 6: Final answer
    x = 229,267.80

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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.