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Finding the Fourth Proportional to 302,192, 417,034.14 and 166,218.92

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Solution

The fourth proportional to 302,192, 417,034.14 and 166,218.92 is: 229,387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,192 : 417,034.14 = 166,218.92 : x
  2. Step 2: Convert to fraction form
    302,192/417,034.14 = 166,218.92/x
  3. Step 3: Cross multiply
    302,192x = 417,034.14 × 166,218.92
  4. Step 4: Simplify right side
    302,192x = 69,318,964,353.93
  5. Step 5: Solve for x
    x = 69,318,964,353.93/302,192
  6. Step 6: Final answer
    x = 229,387.16

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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.