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Finding the Fourth Proportional to 282,956.82, 424,555.24 and 133,193.78

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Solution

The fourth proportional to 282,956.82, 424,555.24 and 133,193.78 is: 199,847.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,956.82 : 424,555.24 = 133,193.78 : x
  2. Step 2: Convert to fraction form
    282,956.82/424,555.24 = 133,193.78/x
  3. Step 3: Cross multiply
    282,956.82x = 424,555.24 × 133,193.78
  4. Step 4: Simplify right side
    282,956.82x = 56,548,117,234.41
  5. Step 5: Solve for x
    x = 56,548,117,234.41/282,956.82
  6. Step 6: Final answer
    x = 199,847.16

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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.