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Finding the Fourth Proportional to 285,781.80, 428,672.82 and 105,929.08

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Solution

The fourth proportional to 285,781.80, 428,672.82 and 105,929.08 is: 158,893.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,781.80 : 428,672.82 = 105,929.08 : x
  2. Step 2: Convert to fraction form
    285,781.80/428,672.82 = 105,929.08/x
  3. Step 3: Cross multiply
    285,781.80x = 428,672.82 × 105,929.08
  4. Step 4: Simplify right side
    285,781.80x = 45,408,916,769.16
  5. Step 5: Solve for x
    x = 45,408,916,769.16/285,781.80
  6. Step 6: Final answer
    x = 158,893.66

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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.