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Finding the Fourth Proportional to 285,513.71, 428,104.55 and 108,034.43

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Solution

The fourth proportional to 285,513.71, 428,104.55 and 108,034.43 is: 161,988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,513.71 : 428,104.55 = 108,034.43 : x
  2. Step 2: Convert to fraction form
    285,513.71/428,104.55 = 108,034.43/x
  3. Step 3: Cross multiply
    285,513.71x = 428,104.55 × 108,034.43
  4. Step 4: Simplify right side
    285,513.71x = 46,250,029,169.22
  5. Step 5: Solve for x
    x = 46,250,029,169.22/285,513.71
  6. Step 6: Final answer
    x = 161,988.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.