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Finding the Fourth Proportional to 162,642.38, 224,584.99 and 102,313.98

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Solution

The fourth proportional to 162,642.38, 224,584.99 and 102,313.98 is: 141,280.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,642.38 : 224,584.99 = 102,313.98 : x
  2. Step 2: Convert to fraction form
    162,642.38/224,584.99 = 102,313.98/x
  3. Step 3: Cross multiply
    162,642.38x = 224,584.99 × 102,313.98
  4. Step 4: Simplify right side
    162,642.38x = 22,978,183,919.38
  5. Step 5: Solve for x
    x = 22,978,183,919.38/162,642.38
  6. Step 6: Final answer
    x = 141,280.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.