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Finding the Fourth Proportional to 302,927.65, 418,034.59 and 165,107.77

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Solution

The fourth proportional to 302,927.65, 418,034.59 and 165,107.77 is: 227,845.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,927.65 : 418,034.59 = 165,107.77 : x
  2. Step 2: Convert to fraction form
    302,927.65/418,034.59 = 165,107.77/x
  3. Step 3: Cross multiply
    302,927.65x = 418,034.59 × 165,107.77
  4. Step 4: Simplify right side
    302,927.65x = 69,020,757,479.91
  5. Step 5: Solve for x
    x = 69,020,757,479.91/302,927.65
  6. Step 6: Final answer
    x = 227,845.69

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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.