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Finding the Fourth Proportional to 162,012.56, 243,020.76 and 56,834.48

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Solution

The fourth proportional to 162,012.56, 243,020.76 and 56,834.48 is: 85,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,012.56 : 243,020.76 = 56,834.48 : x
  2. Step 2: Convert to fraction form
    162,012.56/243,020.76 = 56,834.48/x
  3. Step 3: Cross multiply
    162,012.56x = 243,020.76 × 56,834.48
  4. Step 4: Simplify right side
    162,012.56x = 13,811,958,523.80
  5. Step 5: Solve for x
    x = 13,811,958,523.80/162,012.56
  6. Step 6: Final answer
    x = 85,252.39

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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.