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Finding the Fourth Proportional to 285,895.56, 428,704.68 and 86,178.72

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Solution

The fourth proportional to 285,895.56, 428,704.68 and 86,178.72 is: 129,226.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,895.56 : 428,704.68 = 86,178.72 : x
  2. Step 2: Convert to fraction form
    285,895.56/428,704.68 = 86,178.72/x
  3. Step 3: Cross multiply
    285,895.56x = 428,704.68 × 86,178.72
  4. Step 4: Simplify right side
    285,895.56x = 36,945,220,580.41
  5. Step 5: Solve for x
    x = 36,945,220,580.41/285,895.56
  6. Step 6: Final answer
    x = 129,226.28

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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.