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Finding the Fourth Proportional to 162,912.10, 224,583.13 and 114,366.21

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Solution

The fourth proportional to 162,912.10, 224,583.13 and 114,366.21 is: 157,659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,912.10 : 224,583.13 = 114,366.21 : x
  2. Step 2: Convert to fraction form
    162,912.10/224,583.13 = 114,366.21/x
  3. Step 3: Cross multiply
    162,912.10x = 224,583.13 × 114,366.21
  4. Step 4: Simplify right side
    162,912.10x = 25,684,720,288.56
  5. Step 5: Solve for x
    x = 25,684,720,288.56/162,912.10
  6. Step 6: Final answer
    x = 157,659.99

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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.