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Finding the Fourth Proportional to 302,892.30, 417,994.20 and 166,931.10

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Solution

The fourth proportional to 302,892.30, 417,994.20 and 166,931.10 is: 230,366.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,892.30 : 417,994.20 = 166,931.10 : x
  2. Step 2: Convert to fraction form
    302,892.30/417,994.20 = 166,931.10/x
  3. Step 3: Cross multiply
    302,892.30x = 417,994.20 × 166,931.10
  4. Step 4: Simplify right side
    302,892.30x = 69,776,231,599.62
  5. Step 5: Solve for x
    x = 69,776,231,599.62/302,892.30
  6. Step 6: Final answer
    x = 230,366.48

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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.