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Finding the Fourth Proportional to 302,992.32, 418,080.48 and 182,104.68

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Solution

The fourth proportional to 302,992.32, 418,080.48 and 182,104.68 is: 251,275.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,992.32 : 418,080.48 = 182,104.68 : x
  2. Step 2: Convert to fraction form
    302,992.32/418,080.48 = 182,104.68/x
  3. Step 3: Cross multiply
    302,992.32x = 418,080.48 × 182,104.68
  4. Step 4: Simplify right side
    302,992.32x = 76,134,412,024.65
  5. Step 5: Solve for x
    x = 76,134,412,024.65/302,992.32
  6. Step 6: Final answer
    x = 251,275.06

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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.