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Finding the Fourth Proportional to 302,953.42, 418,078.51 and 166,992.59

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Solution

The fourth proportional to 302,953.42, 418,078.51 and 166,992.59 is: 230,451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,953.42 : 418,078.51 = 166,992.59 : x
  2. Step 2: Convert to fraction form
    302,953.42/418,078.51 = 166,992.59/x
  3. Step 3: Cross multiply
    302,953.42x = 418,078.51 × 166,992.59
  4. Step 4: Simplify right side
    302,953.42x = 69,816,012,423.60
  5. Step 5: Solve for x
    x = 69,816,012,423.60/302,953.42
  6. Step 6: Final answer
    x = 230,451.31

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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.