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Finding the Fourth Proportional to 302,898.30, 418,002.48 and 166,937.10

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Solution

The fourth proportional to 302,898.30, 418,002.48 and 166,937.10 is: 230,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,898.30 : 418,002.48 = 166,937.10 : x
  2. Step 2: Convert to fraction form
    302,898.30/418,002.48 = 166,937.10/x
  3. Step 3: Cross multiply
    302,898.30x = 418,002.48 × 166,937.10
  4. Step 4: Simplify right side
    302,898.30x = 69,780,121,804.01
  5. Step 5: Solve for x
    x = 69,780,121,804.01/302,898.30
  6. Step 6: Final answer
    x = 230,374.76

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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.